Write the Kb expression for the reaction of propylamine, C3H7NH2 with water.
a. [C3H7NH+3][OH−][C3H7NH2]
b. [C3H7NH2][H2O][C3H7NH+3][OH−]
c. [C3H7NH2][C3H7NH+3][OH−]
d. [C3H7NH+3][OH−][C3H7NH2][H2O]

Answers

Answer 1

The Kb expression for the reaction of propylamine, C3H7NH2, with water is [C3H7NH2][C3H7NH+3][OH−] . Hence, option (c) is correct.

The Kb expression for the reaction of propylamine (C3H7NH2) with water can be determined by considering the equilibrium between the amine (C3H7NH2) and its conjugate acid (C3H7NH+3) with hydroxide ions (OH−) in water. The reaction can be represented as follows:

C3H7NH2 + H2O ⇌ C3H7NH+3 + OH−

The equilibrium constant expression for this reaction, Kb, is given by the product of the concentrations of the products (C3H7NH+3 and OH−) divided by the concentration of the reactant (C3H7NH2):

Kb = [C3H7NH+3][OH−] / [C3H7NH2]

Therefore, the correct Kb expression for the reaction is [C3H7NH2][C3H7NH+3][OH−] (option c).

The Kb expression for the reaction of propylamine, C3H7NH2, with water is [C3H7NH2][C3H7NH+3][OH−] (option c).

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Related Questions

In Wittig Reaction, the reaction will be run using _____ as solvent. _______ is added to the residue to leach out your product. Your crude product is recrystallized from _______

Answers

In Wittig reaction, will be run using diethyl ether or THF as solvent. Water is used for leaching the product from the residue. Your crude product is recrystallized from ethanol.

In the Wittig reaction, the reaction is typically run using an inert solvent such as diethyl ether or tetrahydrofuran (THF). Water is added to the residue to leach out the product, as the product is often water-soluble while the residue contains the byproducts and unreacted reagents.

The crude product is then recrystallized from a suitable solvent such as ethanol or methanol to obtain purified crystals. The choice of solvent for recrystallization depends on the solubility of the product and impurities.

Recrystallization is performed using solvents like ethanol or methanol to obtain purified crystals of the desired product. The choice of solvent in each step is crucial for achieving a successful and purified reaction outcome.

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The complete question is:

In Wittig Reaction, the reaction will be run using A. (hexane/methanol/no solvent) as solvent: B (Hexane/methanol/no solvent) is added to the residue to leach out your product: Your crude product is recrystallized from C (hexane/methanol/no solvent)

The table gives the concentrations of C2H4O(g)C2H4O(g) as a function of time at a certain temperature for the reaction shown.
C2H4O(g)⟶CH4(g)+CO(g)C2H4O(g)⟶CH4(g)+CO(g)
Verify that this is a first-order reaction by plotting ln[C2H4O]ln[C2H4O] versus time and determining the value of the rate constant.
[C2H4O] (M)Time (min)0.08600.000.046558.00.035583.00.0274107.00.0174150.0
_____________min^-1 ?

Answers

The required answer for the value of the rate constant, k, is 0.009 min-1.

Explanation: For verifying if the reaction is first order, the graph of ln [C2H4O] versus time will be plotted.The given data can be used for calculating the ln [C2H4O] as given below:ln [C2H4O] = ln [0.0860] = -2.45ln [C2H4O] = ln [0.0465] = -3.06ln [C2H4O] = ln [0.0355] = -3.33ln [C2H4O] = ln [0.0274] = -3.60ln [C2H4O] = ln [0.0174] = -4.05Now, we will plot a graph between ln [C2H4O] and time on a sheet of paper or in excel. From the graph, we will get a straight line The graph obtained is a straight line which confirms that the given reaction is first order.

To determine the value of rate constant, k, we will use the formula:ln [C2H4O] = -kt + ln [C2H4O]0Where,[C2H4O] = Concentration of ethylene oxide at time t [C2H4O]0 = Initial concentration of ethylene oxide at t = 0 k = Rate constant of the reaction t = Time period of the reactionNow, we will use the given data to determine the value of k:ln [0.0860] = -k × 0 + ln [0.0860] => k = 0ln [0.0465] = -k × 8 + ln [0.0860]=> k = 0.012ln [0.0355] = -k × 3 + ln [0.0860]=> k = 0.008ln [0.0274] = -k × 7 + ln [0.0860]=> k = 0.010ln [0.0174] = -k × 50 + ln [0.0860]=> k = 0.009Thus, the value of the rate constant, k, is 0.009 min-1.

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Which substance cannot be separated or broken down into simpler substances by chemical means?


table salt

gold wire


candle wax


water vapor

Answers

Answer: Gold Wire

Explanation:

Out of all of these options only gold wire is an element, elements are pure and cannot be broken down by any chemical means

hope it helped, good luck :)

How many atoms of aluminum are in 0.1 mol of aluminum?

Answers

Answer: The number of 'entities' in a mole of any pure substance is always that. 1 mole is equivalent to the number of atoms in a 12g lump of Carbon12.

Edit: I deliberately avoided using Avogadro's number as that is different, in a technical sense, to a mole. A mole is a base unit of the International System of Units (SI) which recognized amount of substance as an independent dimension of measurement. With this recognition, the Avogadro constant was no longer a pure number but a physical quantity associated with a unit of measurement, the reciprocal mole (mol−1) in SI units.  

Therefore Avogadro constant is DERIVED from the mole (nowadays) to give something like 6.02214179 x 10^23 mole^(-1). (based on 2006 evidence)

Compute the percentage of error to the nearest tenth in the student’s calculation if the actual specific heat value for aluminum is 0.9J:g*C.

Answers

Complete Question:

1. A block of aluminum with a mass of 140 g is cooled from 98.4°C to 62.2°C with a release of 4817 J of heat. From these data, calculate the specific heat of aluminum.

a. Compute the percentage of error to the nearest tenth in the student's calculation if the actual specific heat value for aluminum is 0.9 J/g°C

Answer:

Percent error = 55.56 %

Explanation:

Given the following data;

Mass = 140 grams

Initial temperature = 62.2°C

Final temperature = 98.4°C

Quantity of heat = 4817 Joules.

To find the specific heat capacity;

Heat capacity is given by the formula;

[tex] Q = mcdt[/tex]

Where;

Q represents the heat capacity or quantity of heat. m represents the mass of an object. c represents the specific heat capacity of water. dt represents the change in temperature.

dt = T2- T1

dt = 98.4 - 62.2

dt = 36.2°C

Making c the subject of formula, we have;

[tex] c = \frac {Q}{mdt} [/tex]

Substituting into the equation, we have;

[tex] c = \frac {4817}{140*36.2} [/tex]

[tex] c = \frac {4817}{5068} [/tex]

Specific heat capacity, = 0.95 J/g°C

b. To find the percentage error;

Given the following data;

Actual specific heat capacity = 0.9 J/g°C

Experimental specific heat capacity = 0.95 J/g°C

Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, it is given by this expression;

[tex] Percent \; error = \frac {experimental \;value - actual \; value}{ actual \;value} *100[/tex]

Substituting into the formula, we have;

[tex] Percent \; error = \frac {0.95 - 0.9 }{ 0.9} *100[/tex]

[tex] Percent \; error = \frac {0.5}{0.9} *100[/tex]

[tex] Percent \; error = 0.5556 *100[/tex]

Percent error = 55.56 %

(PLS HELP ASAP <3)
a sample of oxygen gas occupies 600mL when the pressure is 900 mmHg, what is the pressure if the volume is increased to 800 mL​

Answers

Answer:

675 mmHg

Explanation:

The new pressure can be found by using the formula for Boyle's law which is

[tex]P_1V_1 = P_2V_2[/tex]

Since we're finding the new pressure

[tex]P_2 = \frac{P_1V_1}{V_2} \\[/tex]

We have

[tex]P_2 = \frac{900 \times 600}{800} = \frac{540000}{800} \\ = 675[/tex]

We have the final answer as

675 mmHg

Hope this helps you

Consider the four weak bases listed below. Which would primarily exist as a cation in an aqueous solution with pH = 9? a) only aniline, Kb = 4.0 x 10-10, pKa = 4.60 b) only caffeine, Kb = 1.4 x 10-4, pKg = 10.1 c) none will be cationic d) only quinine, Kb = 3.3 x 10-6, pKa = 8.52 e) only morphine, Kb = 1.6 x 10-6, pkg = 8.20 f) all will be cationic

Answers

When an aqueous solution has a pH value of 9, the solution is basic. It is important to note that weak bases behave like weak acids, producing their corresponding conjugate acid in the presence of water.

When a base interacts with water, it accepts a hydrogen ion to form the conjugate acid of the base. This conjugate acid can either exist in solution as a neutral species, as an anion, or as a cation. An anion is formed when a strong acid reacts with a weak base and displaces the weak base's conjugate base. Consider the four weak bases listed below. Which would primarily exist as a cation in an aqueous solution with pH = 9?

a) Aniline with Kb = 4.0 x 10-10 and pKa = 4.60
Aniline is a weak base that will primarily exist in a cationic state in an aqueous solution with a pH of 9. Aniline's Kb value is small, indicating that it is a weak base. Aniline's conjugate acid is NH2+, which is a weak acid.

b) Caffeine with Kb = 1.4 x 10-4 and pKg = 10.1
Caffeine is a weak base that will primarily exist in an anionic state in an aqueous solution with a pH of 9. Caffeine has a Kb value that is relatively large, indicating that it is a weak base. The conjugate acid of caffeine is H+, which is a strong acid.

c) None of the above weak bases will be cationic in solution.

d) Quinine with Kb = 3.3 x 10-6 and pKa = 8.52
Quinine is a weak base that will primarily exist in a cationic state in an aqueous solution with a pH of 9. Quinine has a Kb value that is small, indicating that it is a weak base. The conjugate acid of quinine is NH+2, which is a weak acid.

e) Morphine with Kb = 1.6 x 10-6 and pkg = 8.20
Morphine is a weak base that will primarily exist in a cationic state in an aqueous solution with a pH of 9. Morphine has a Kb value that is small, indicating that it is a weak base. The conjugate acid of morphine is NH+2, which is a weak acid.

f) All weak bases will not be cationic in solution.

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Identify the orbital containing the electron removed in each ionization. Enter a subshell designation, such as 3p or 5s.
a. 1st
b. 2nd
c. 3rd

Answers

The orbitals are;

a. 1st - 4s

b. 2nd - 4s

c. 3rd - 3d

What is the orbital from which the first, second and third electrons are removed from the transition elements?

First, second, and third electrons from the 4s orbital are frequently removed from transition elements before any electrons from the 3d orbital. This is due to the fact that the energy levels of the 4s and 3d orbitals are quite similar and the energy level of the 4s orbital is marginally lower.

According to the Aufbau principle, electrons fill the lowest possible energy levels first in the electron configuration of transition elements before migrating to higher energy levels. As a result, electrons fill the 4s orbital first, followed by the 3d orbital, with the first two electrons.

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The elements C and Se have the same electronegativity value, 2.55. Which of the following claims about the compound that forms from C and Se is most likely to be true?
a. The compound is likely to be an ionic compound.
b. The compound is likely to be a covalent compound.
c. The compound is likely to be a metallic compound.
d. The compound is likely to be an organic compound.

Answers

Carbon (C) and Selenium (Se) having the same electronegativity value of 2.55 is likely to form a (b) covalent compound.

An electronegativity value is the measure of the ability of an atom to attract shared electrons towards itself when they are chemically bonded with another atom.

Brief Information about C and Se:

Carbon (C) - Carbon is the 6th element on the periodic table. It is a non-metallic element that can be found in all known life forms. Carbon has 4 valence electrons, and it can either lose or share electrons to attain a stable electron configuration.

Selenium (Se) - Selenium is a non-metal element that belongs to group 16 of the periodic table. It has 6 valence electrons, and it can either lose or share electrons to attain a stable electron configuration. It is not found in its elemental form in nature and it is found in trace amounts in soils, rocks, and water.

Based on the above information, the following claim about the compound that forms from C and Se is most likely to be true: Option b. The compound is likely to be a covalent compound.

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Which are characteristics of all metals?
A
They are malleable, ductile, and conduct electricity.
B
They are malleable, ductile, and form ionic bonds.
C
They are ductile, inert, and conduct electricity.
D
They are noble, ductile, and form ionic bonds.

Answers

Answer:

A. They are malleable, ductile, and conduct electricity.

Explanation:

Answer:

a

Explanation:

consider a thin film of of soapy water (n = 1.33) on plexiglas. since light is a wave, there are many thicknesses of this film that will result in constructive interference.

Answers

When light passes through a thin film of soapy water (n = 1.33) on plexiglass, there are several thicknesses of this film that will result in constructive interference.

Due to the light being a wave, it can create a constructive or destructive interference pattern.The thickness of the thin film of soapy water can be calculated by using the equation 2nt = mλ where n is the refractive index of the medium, t is the thickness of the film, m is the order of interference, and λ is the wavelength of the incident light.

If the thickness of the film satisfies the above equation, the light waves will interfere constructively, resulting in a bright spot.

The order of interference determines the location of the bright spot and is indicated by an integer value (m = 0, 1, 2, 3...).

The reason why soapy water forms a thin film on plexiglass is due to the adhesion and cohesive forces between the two.

The thickness of the film can be controlled by changing the concentration of soap in water or the angle of incidence of the light.

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What happens as you decrease the temperature of a solution?
A.
The number of solute particles increases.
B.
The number of solute particles decreases.
C.
The rate of dissolution increases.
D.
The rate of dissolution decreases.
E.
The temperature has no effect on the rate of dissolution.

Answers

Answer:

D is the answer

Explanation:

D is your answer
I hope that helps

How many moles is 80.0 g of calcium?

Answers

Answer:

Here we were given the weight of Ca as 80g

and the atomic mass of carbon is 40u(molar mass)

using the formula

n=W/M

where w is weight and m is molar mass

80/40

=2

therefore, there are 2 moles in 80g of calcium

If a calorimeter used for an experiment had been made out of a heat-conducting material, such as metal, rather than styrofoam, a non-heat conducting metal, would the measured calorimeter constant be larger or smaller? Explain your answer.

Answers

If a calorimeter made of a heat-conducting material, such as metal, is used instead of a non-heat conducting material like Styrofoam, the measured calorimeter constant would be smaller. This is because a calorimeter made of a heat-conducting material would allow heat to be transferred more efficiently between the system being studied and the surroundings, resulting in less heat being absorbed by the calorimeter itself.

When conducting experiments involving heat transfer, a calorimeter is used to measure the heat exchanged. The calorimeter constant represents the amount of heat absorbed or released by the calorimeter for a given temperature change. A calorimeter made of a heat-conducting material, like metal, would conduct heat more effectively from the system to the surroundings. This means that a larger proportion of the heat generated by the system would be transferred away from the calorimeter, resulting in less heat being measured by the calorimeter itself. Consequently, the measured calorimeter constant would be smaller compared to using a non-heat conducting material like Styrofoam, where more heat would be retained within the calorimeter.

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which of the following is true of carbon? select all that are correct. group of answer choices it can form a maximum of four covalent bonds with other elements. it can form a maximum of three covalent bonds with other elements. it is highly electronegative. it can form both polar and nonpolar bonds. it can only form polar molecules.

Answers

Based on the given options, the following statements are true of carbon: It can form a maximum of four covalent bonds with other elements and It can form both polar and nonpolar bonds.

Carbon is an element with atomic number 6, meaning it has six protons in its nucleus. It has four valence electrons, which are the electrons involved in bonding with other atoms.

Carbon's electron configuration allows it to form four covalent bonds by sharing its valence electrons with other atoms. This property is known as tetravalency and is a fundamental characteristic of carbon.

Additionally, carbon can form both polar and nonpolar bonds depending on the atoms it is bonded to and the electronegativity difference between them.

When carbon bonds with atoms of similar electronegativity, such as hydrogen, the bond is nonpolar because the electrons are shared equally. However, if carbon bonds with atoms of higher electronegativity, such as oxygen or nitrogen, the bond becomes polar due to the unequal sharing of electrons.

In summary, carbon can form a maximum of four covalent bonds with other elements due to its tetravalent nature. It is not highly electronegative itself but can form both polar and nonpolar bonds depending on the atoms it is bonded to. Therefore, the correct statements are:

It can form a maximum of four covalent bonds with other elements.

It can form both polar and nonpolar bonds.

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Minerals are formed by which process? O magma cooling O fault lines moving O metamorphosis O sedimentation​

Answers

i’m pretty sure it’s magma cooling. sorry if i’m wrong. also anytime someone says to click a link, don’t click it they are scamming

What is the standard units of mass, length and time in the (a) CGS system (b) SI system​

Answers

Explanation:

a. CGS system: centimetre as the unit of length, the gram as the unit of mass, and the second as the unit of time

b. SI system: metre as the unit of length, the kilogram as the unit of mass, and the second as the unit of time

Answer : the most common units of mass are the gram and kilogram.
And length and time in Seconds.

full form of CGS is:

. Centimetre

. Gram

. Second

This can be converted in terms of SI unit and then cgs unit as: (physical quantity, si unit, cgs unit)

Length — metre = centimetre
Mass — kilogram = gram
Time — second = second

If a nuclear reactor were to have a meltdown, radioactive materials could escape in the form of gases from the reactor into the atmosphere and harm humans and the environment. One safety system that might be able to prevent such an escape is a:

Answers

A containment building.

hope this helpedddd

which step in glycolysis involves the process where direct substrate phosphorylation occurs? (a) 3- phosphoglycerate to phosphoenolpyruvate (b) 1,3, bisphosphoglycerate to 3-phosphoglycerate and phosphoenolpyruvate to pyruvate (c) fructose-6-phosphate to fructose1,6-bisphosphate (d) 3- phosphoglycerate to 2-phosphoglycerate and phosphoenolpyruvate to pyruvate

Answers

The correct option is (b) 1,3, bisphosphoglycerate to 3-phosphoglycerate and phosphoenolpyruvate to pyruvate is the step in glycolysis involves the process where direct substrate phosphorylation occurs.What is glycolysis?Glycolysis is the metabolic pathway that breaks down glucose to pyruvate.

The glycolytic pathway converts glucose into two molecules of pyruvate and yields two ATP and two NADH molecules for each glucose molecule that enters the process.The series of reactions of glycolysis are divided into two main phases: an energy-investment phase, in which energy is consumed, and an energy-payoff phase, in which ATP is created. The first energy-investment phase is phosphorylation of glucose into glucose-6-phosphate, which is followed by phosphorylation of fructose-6-phosphate into fructose-1,6-bisphosphate.The direct substrate phosphorylation is the process where a substrate or molecule is phosphorylated via the transfer of a high-energy phosphate molecule directly from a phosphorylated intermediate (substrate-level phosphorylation).1,3-bisphosphoglycerate to 3-phosphoglycerate and phosphoenolpyruvate to pyruvate are steps in glycolysis that involve the process where direct substrate phosphorylation occurs.

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Oxygen is produced at the positive electrode
Write a balanced half equation for the process at the positive electrode ​

Answers

Answer:

See Explanation

Explanation:

In electrolysis, a solution called the electrolyte is decomposed by the passage of direct current through it.

The points through which current enters and leaves the electrolyte are called electrodes. In electrolysis, oxidation occurs at the anode and reduction occurs at the cathode.

In the electrolysis of water; at the anode oxygen is produced as follows;

4OH^-(aq) -----> 2H2O(l) + O2(g) + 4e

Write the formula for Zn+2 (SO4)-2

Answers

Answer:

Zn2 + SO4 = Zn2(SO4)2

Explanation:

Methane and water react to form hydrogen and carbon monoxide, like this: CH4(g)+H20(g) → 3 H,(g) + CO(g) The reaction is endothermic. Suppose a mixture of CH4, H20, H2 and CO has come to equilibrium in a closed reaction vessel. Predict what change, if any, the perturbations in the table below will cause in the composition of the mixture in the vessel. Also decide whether the equilibrium shifts to the right or left.

Answers

Answer is given in parts

Given equation: CH4(g)+H20(g) → 3 H2(g) + CO(g)

The given reaction is endothermic. It can be predicted that if there is an increase in temperature, the equilibrium will shift to the right as an endothermic reaction will favor the forward reaction to absorb more heat. If there is a decrease in temperature, the equilibrium will shift to the left.

Perturbations Effect on the composition of mixture Effect on the equilibrium

a. Removal of CH4 Decrease Decrease in CH4 will shift the equilibrium to the right.

b. Addition of CO Increase The addition of CO will shift the equilibrium to the left as the reaction will try to use up the excess CO.

c. Increase in Pressure No effect The increase in pressure will have no effect as the total number of moles of gases is the same on both sides of the equation.

d. Increase in temperature Increase Increase in temperature will shift the equilibrium to the right as it is an endothermic reaction and will favor the forward reaction to absorb more heat.

e. Addition of H2O No effect The addition of H2O will have no effect as there is already H2O present on the reactant side and the product side.

f. Removal of CO Decrease The removal of CO will shift the equilibrium to the right as the reaction will try to replace the lost CO.

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Jack has a rock. The rock has a mass of 14g and a volume of 2cm3. What is the density of the rock?

Answers

Answer:

The density is 7 g/cm^3

Explanation:

The formula for density is p=m/V. Where p is the density, m is mass, and V is the volume. 14/2=7.

Jet streams can cause warmer air temperatures on coastal land areas when
A. a cold jet stream occurs

B. a warm jet stream occurs

C. the tide changes direction

Answers

C I think hop this helped

Jet streams can cause warmer air temperatures on coastal land areas when the tide changes direction.

What are jet streams?

Jet streams are short bands of high wind that travel across the globe from west to east.

On earth, the location of the jet stream is in the latitude of the tropopause.

Two polar jet streams are present near the north and south poles.

Two subtropical jet streams are present, closer to the equator,

These make the Earth's four principal jet streams.

Thus, the correct option is C.

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Will give brainliest!!!!

Answers

Answer:

Its B :)

Hope this helps

Image B will shows the butter particles before and after thermal energy will be transferred to the solid butter by heating. So, the correct option is B.

What is Thermal energy?

The energy present in a system that determines its temperature is referred to as thermal energy. Thermal energy flows as heat. Thermodynamics is a whole field of physics that studies how heat is transmitted across various systems and how work is performed in the process.

The butter particles in Picture B are shown both before and after the solid butter has been heated to transmit thermal energy to it. This image shows a solid butter particle with tightly packed molecules, however when the butter is heated, it melts into a liquid form with loosely packed molecules.

Thus, the correct option is B.

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The concentration of sugar in Coke is approximately 10%, or 100 ppt. If you drink
a single can of coke, which holds 355 ml, how much sugar have you consumed?​

Answers

Answer:

35.5g of sugar

Explanation:

To solve this question we must assume the density of coke = Density of water = 1g/mL

Thus, in a single can of coke, the mass is 355g. Now, the 10% of this coke is sugar. That means the amount of sugar you are consuming is:

355g * (10/100) = 35.5g of sugar

10/100 = 10%

A 0.5 kg arrow was shot at a target. The arrow accelerated at 200 m/s2. What was
the net force on the arrow to the nearest newton?
Record your answer and be sure to use the correct place value.

Answers

Answer: I think 100?

Explanation:

It’s asking for the net FORCE! And the formula to find force is to multiply the mass by the acceleration which would be in this case 0.5x200 which would be 100

Question 19 (3 points)

If the density of the earth was 11.0 g/mL instead of its measured value of 5.51 g/mL, the force of gravity would

be twice what it is at sea level. If the earth's density was twice than its actual density, then in pounds per

square inch at sea level the earth's atmosphere in British units would be equal to:

a) 7.35 psi b) 14.7 psi c ) 29.4 psi d) 44.1 psl e) 98.8 psi

Answers

Answer:

c ) 29.4 psi

Explanation:

If the density of earth was twice than its actual density which is 5.51 g/mL, then at sea level the atmospheric pressure of earth in British units would be equal to 29.4 psi because increase of gravity, increase occurs in the atmospheric pressure.  If we double the gravity of earth by double of the earth density, so the weight of that same mass of air will be double which leads to the doubling of the atmospheric pressure at the sea level.

1. Why is the timing of tides predictable?
A. because winds are predictable
B. because the moon’s path is predictable
C. because ocean water density is predictable
D. because the sun’s movements are predictable

Answers

C hope that helps have a good one

Answer:

Because the moon's path is predictable

Explanation:

The moon affects the tides

The percent yield for the reaction in which 15.6g of aluminum hydroxide is reacted in excess hydrogen chloride gas is 92.5%. What is the actual yield of aluminum chlorine?

Answers

Answer:

24.6 g

Explanation:

Other Questions
A ferris wheel has 15 seats what angle is each a repeated word, phrase,line, or group of lines in apoem water......herbivore....... carbon dioxide........oxygen Answer each of the following questions as either true or false. For a statement to be "true," it must always be true. If there is at least one case where the statement is not true (or if you need more information to be sure), answer "false." You must justify each answer with an appropriate explanation or counterexample (which may include a relevant diagram). (a) (4) A perfectly competitive firm has marginal function MC(q) = 4+6q, ces an output price of p= $26, and chooses to produce q- 4 units. In order to maximize profits, this firm would increase output. (b) (4) Consider two firms, Airbus and Boeing, with the following two production functions: f(L,K) = min{L, K) and f(L, K) = [min{L, K}]. For example, if Boeing hires four workers and four pieces of capital, the firm would be able to produce two airplanes as opposed to Airbus' four with the same inputs. If both firms face the same inputs costs (wage w and rental rate r), then the ratio of capital to labor (K/L) that each firm uses will be the same. (c) (4) Heather consumes running shoes and packs of energy gel. If energy gel is an inferior good. and becomes more expensive, then the income effect of that price change would induce Heather to consume more energy gel. (d) (4) A firm can make widgets using capital and labor according to the production function f(K, L) 100L+0.5K. Denote the wage w and the rental rate on capital r. If r is suffi- ciently high, the firm will not hire any capital, no matter how many widgets it wants to produce. Use your measuring devices and right angle trigonometry to calculate the height of this triangle. when did you last visit your local health facility What was Sam Houston's position on Secession? Sameena buys x packets of batteries and y boxes of batteries write down and expression, in terms of x and y, for the total number of batteries sameena buys i need help i'm supposed to draw an animal but I can't draw and I don't know what animal to do plz help me Compute the correct quantile for the margin of error of each confidence interval. Assume all of the statistics used have a normal sampling distribution. Use 3 decimal places.(a) A 98% confidence interval for based on n = 11 observations with known.(b) A 98% confidence interval for based on n = 11 observations with unknown.(c) A 90% confidence interval for a population proportion, p, based on n = 11 observations(d) A 92% confidence interval based on n = 14 observations for the slope parameter Use Guauss-jordan elimination to solve the following linear system.5x - 2y = -2-x + 4y = 4 Let : [0, 1] R be a strictly increasing continuous function such that f(0) = 0 and f(1) = 1. Prove that 1 lim I'll [f(x)]" dx = 0 (10 points) n[infinity] Which of the following describes a mechanism by which microtubules are known to be statilized? a) Shortening of the GTP cap. b) Increasing the proportion of alpha-tubulin subunits relative to beta-tubulin subunits. c) Binding of microtubule binding proteins, such as Tau. d) Conformational changes undertaken by beta-tubulin as it bhydrolyzes GTP. A clerk moves a box of cans down an aisle by pulling on a strap attached to the box. The clerk pulls with a force of 185. 0 N at an angle of 25. 0 degrees with the horizontal. The box has a mass of 35. 0 kg, and the coefficient of kinetic friction between the box and the floor is 0. 450. Find the acceleration of the box Which of the following forced Native Americans onto reservations? A bakery offered a coupon for its catering services. The cost before the coupon was $42.50, and the cost after the coupon was applied was $37.50. Which of the following could be the function equation for this situation?y = 5/xy = x/5y = x + 5y = x 5 STAAR 11BFish in a lake have to compete for space. Different fish have different optimal temperatureranges. The graph below shows the temperature ranges of four fish species.Optimal Temperature Rangesof Four Fish SpeciesLake troutLargemouth bassType of fishSunfishBullhead053010 15 20 25Temperature (C)At which temperature range will there be the most competition for space among these fish species?F 5C to 10CG 10C to 15CH 15C to 20CJ 25C to 30CANSWER: EXPLANATION: On page 30, how did a prisoner help Elie and his father? From the Book Night. which value represents the zero of the linear function y=5x-10?A. -10B. 10C. -2D. 2 Multiply and combine like terms. Use^ for exponents. (2x-10)(3x-3)