A vessel is filled with a gas at a temperature of 30 degree celsius and operator of 67cm mercury calculate the final pressure of the volume of the gas is doubled it is heated to 80degree celcious​

Answers

Answer 1

The final pressure is 6312.935 Pa.

The final pressure of the gas can be calculated using the Ideal Gas Law, PV = nRT.

In this situation, the volume of the gas is doubled and the temperature is increased from 30 degrees Celsius to 80 degrees Celsius, while the number of moles of gas and the ideal gas constant remains constant.

Therefore, the pressure of the gas will decrease as the volume doubles and the temperature increases. The final pressure can be calculated by multiplying the initial pressure by the ratio of the initial volume to the final volume and the ratio of the final temperature to the initial temperature.

Final pressure = (Initial pressure) x (Initial volume / Final volume) x (Final temperature / Initial temperature)

The initial pressure is 67cm mercury. 1cm mercury = 133.322 Pa so 67cm mercury = 67*133.322 =8933.294 Pa.

The final temperature is 80-degree celsius = 80+273 = 353K

The final pressure =8933.294 x (1/2) x (353/303) = 6312.935 Pa

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Related Questions

What are two characteristics of the rock found 3 mya?

Answers

To solve this we must be knowing each and every concept related to rock and its characteristics. Therefore, the two characteristics of the rock can be given as below.

What is rock?

The word rock relates to the material's bulk volume, which includes the grain or crystals in addition to the enclosed vacuum space.

The two characteristics of the rock are:

Some minerals exhibit color features related to mineral composition and atom arrangement: for example, magnetite is black, chlorite is green, and pyrite is brassy yellow.

The capacity of a mineral to resist scratching is used to estimate its hardness, which is generally determined on fresh material. When a mineral is scraped with a knife, it softens. If a knife cannot scratch it, the two have equivalent hardness or even the mineral is harder.

Therefore, the two characteristics of the rock can be given as above.

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What is a proposed explanation for an observation? A. experiemnt B. hypothesis C. theory D. scientific law

Answers

A proposed explanation for an observation is theory. Option C is the correct answer.

What is a theory?

This refers to a carefully articulated explanation for observations of the natural world that have been arranged using the scientific method, gathering many facts and hypotheses.

A proposed explanation for an observation is a statement or theory that attempts to explain or account for an observation. It is a possible explanation for a phenomenon and is often based on available evidence, research, and data. It may be tested and refined through further observation and experimentation to determine its accuracy and validity.

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A student dissolved 0.178 grams of a solid monoprotic acid in water and then titrated it. They then performed the same calculation as you just did in question 2 to find the moles and they found that 0.00685 moles were neutralized. What is the molar mass of the unknown acid that was dissolved? (Hint: What are the units for molar mass?)

Answers

Mole measure the number of elementary entities of a given substance that are present in a given sample. Therefore, 25.98g/mol is the molar mass of the unknown acid that was dissolved.

What is mole?

The SI unit of amount of substance in chemistry is mole. The mole is used to measure the quantity or amount of substance. We know one mole of any element contains 6.022×10²³ atoms which is also called Avogadro number.

Mathematically,

mole =given mass ÷ molar mass

Molar mass of  unknown acid= ?

mass of  unknown acid= 0.178 grams

moles of  unknown acid= 0.00685 moles

Substituting the values in above formula we get

0.00685  = 0.178  ÷ molar mass

molar mass=25.98g/mol

Therefore, 25.98g/mol is the molar mass of the unknown acid that was dissolved.

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How does a meter stick measure reaction time?

Answers

We can use the distance when the meter stick fell before you caught it to figure out your reaction time.  

Meterstick is either a straightedge or foldable ruler which is used to measure a  length, and is especially common in the construction industry. They are often made up of wood or plastic, and often have metal or plastic joints so that they can be folded together. Metersticks are usually divided with lines for each millimeter (1000 per meter) and numerical markings as per centimeter (100 per meter), with the numbers or either in centi- or millimeter.

Formula is the basis: d = 1/2 gt2. In this formula, “d” is equals to the distance the object fell, “g” equals to gravitational acceleration (9.8 m/s2), and “t” is the time the object was falling.

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Gaseous ammonia chemically reacts with oxygen O2 gas to produce nitrogen monoxide gas and water vapor. Calculate the moles of water produced by the reaction of 0.90mol of ammonia. Be sure your answer has a unit symbol, if necessary, and round it to 2 significant digits.

Answers

1.08 moles of water () produced by the reaction of 0.90mol of oxygen.

Explanation:

Moles of oxygen given = 0.90 mole

Moles of water are to be calculated.

Step 1 : Write the chemical reaction and balance it.

5 mole of  reacts with 4 mole of  to give 4 moles of NO and 6 moles of .

Step 2 : Calculate moles of water () utilising  mole ratio.

The coefficient of  is 6 and coefficient of  is 5, So mole ratio of  to  is 6 : 5

Moles of  = 0.90 × 6 (moles of ) ÷ 5 (moles of )

Moles of  = 1.08 moles

1.08 moles of  is produced by the reaction of 0.90 mole oxygen ()

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the safety air bag in automobiles are inflated by nitrogen gas by the rapid decomposition of sodium azide:

Answers

sodium azide (NaN3) is used to inflate the safety airbags in automobiles (g) This airbag should be filled with N2 at a pressure of 1.15 atm and temperature of 26.0°C. It has a volume of 36 L.

Modern automobiles use numerous technical components and subsystems, each of which performs a specific design function. Some of these have thousands of individual pieces and were made possible by new or improved technologies, such as electronic computers, high-strength polymers, and novel alloys of steel and nonferrous metals. Air pollution, safety regulations, and global manufacturer competition, among other things, have all contributed to the development of some subsystems.

With an estimated 1.4 billion in use worldwide, passenger vehicles have become the main form of family transportation. In the United States, where more than three trillion miles (almost five trillion kilometers) are traveled annually, roughly one-fourth of these are located.

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Which of the following substances would you expect to have a nonzero dipole moment? Check all that apply.
O Chloroethane, CH3 CH2C1 O XeF4 O Cl20
BF3

Answers

O Chloroethane, CH3CH2Cl, O XeF4 of the following substances would expect to have a nonzero dipole moment

A substance with a non-zero dipole moment means that the electrons are not distributed symmetrically in the molecule, resulting in a partial positive charge on one end and a partial negative charge on the other end. Chloroethane, CH3CH2Cl has a polar covalent bond between C-Cl and since the C-Cl bond is polar the overall molecule is polar and thus has a nonzero dipole moment.O Chloroethane, CH3 CH2C1 O XeF4 O Cl20. BF3XeF4 has a tetrahedral electron pair geometry, with 4 polar covalent bond Xe-F, and since all the F atoms are in the same plane as the Xe atom, the molecule is polar and thus has a nonzero dipole moment. Cl20 has a polar covalent bond Cl-Cl but since the molecule is symmetric the overall dipole moment is zero. BF3 has a trigonal planar electron pair geometry, with 3 polar covalent bond B-F, but since the molecule is symmetric the overall dipole moment is zero.

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How many grams are in 2.5 moles of KCl

Answers

Answer:

186.25

Explanation:

KCL= 74.5 (molar mass)

2.5*74.5= 186.25

What is the cause of periodic repetition of properties of elements?

Answers

The periodic repetition of properties of elements is due to the regular arrangement of electrons in the atoms of those elements. This regular arrangement is known as the "periodic table" of elements. This is due to the behavior of electrons in atoms and the increasing number of valence electrons as atomic number increases, resulting in a regular pattern of electron configurations and properties.

Elements are arranged in the periodic table according to increasing atomic number. Elements in the same vertical row (group) have similar chemical and physical properties, and elements in the same horizontal row (period) have similar electronic configurations of their atoms.

The reason for this repeating periodic property is the behavior of the electrons in the atoms. As the atomic number increases, the number of protons in the nucleus increases, and the number of electrons in the atom increases. These electrons occupy different energy levels or shells around the atomic nucleus. The outermost shell electrons, the so-called valence electrons, are responsible for the chemical behavior of atoms and participate in chemical bonds. As the atomic number increases, the number of valence electrons in the atom increases. This results in a regular pattern of electron configurations and thus a regular pattern of properties.

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For each of the following chemical equations, write all possible mole ratios. a. 2HgO(s) → 2Hg(l ) + O2(g) b. 4NH3(g) + 6NO(g) → 5N2(g) + 6H2O(l ) c. 2Al(s) + 3H2SO4(aq) → Al2(SO4)3(aq) + 3H2(g)

What is c. 2Al(s) + 3H2SO4(aq) → Al2(SO4)3(aq) + 3H2(g)

Answers

a) The mole ratio is 2/1

b) The mole ratio is 4/6

c) The mole ratio is 2/3

What is the mole ratio?

We have to note that the mole ratio is the ratio of the stoichiometric coefficient that we have between two reactants that can be found in an equation. In the case of the reaction equations that we have, we must look closely at each equation.

As we can see, each of the reaction equations is balanced and we can now be able to obtain the mole ratio of each of the reaction as shown in the answer above.

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What is the pH of a 7.5 × 10-3 M Ba(OH)2 solution at 25°C?
a. 0.015
b. 1.82
c. 12.18
d. 11.88

Answers

A 7.5 10-3 M Ba(OH)2 solutions at 25°C has a pH of 1.82. (option b).

What exactly is a solution exemplar?

A homogenous solution of two or more ingredients with particles smaller than one nm is referred to as a solution. Solutions come in many forms, such as soda water, salt and sugar solutions, etc. In a solution, every element appears as a single phase.

What is the ideal definition of a solution?

In chemistry, a solution is a homogeneous mix of two or more molecules in relative proportions that can be constantly changed up to what is known as the limit of solubility. Although the term "solution" is frequently used to refer to the liquid state of matter, solutions of gases and solids are also possible.

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How many planes of cleavage does this mineral have? Choose one: A. 0 B. 2 at 90° intersections C. 3 not at 90° intersections D. 1

Answers

The planes of cleavage that the mineral have is 1 as the mineral name is Muscovite mica.

The crystal lattice structure of a mineral affects its propensity to split or break along flat planar faces, or cleavage. These 2D surfaces, also known as cleavage planes, are produced by the alignment of atoms in the crystal structure or lattice through relatively weak connections.

The mineral depicted in the image is called "Muscovite mica," and it has layers that seem like flat sheets. Muscovite mica is far more likely to break along the layers because it only has weakly bonded potassium ions. There is just one ideal cleavage plane as a result. This cleavage is evident in the capacity to peel mica sheets.

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How many ATP does ATP produce?

Answers

The bulk of ATP production occurs during cellular respiration within the mitochondrial matrix, producing around thirty-two ATP molecules for every molecule of oxidized glucose.

What is ATP?

The energy currency of the cell is ATP (adenosine triphosphate). It is a natural chemical molecule made up of phosphate groups, adenine, and the sugar ribose. These molecules supply energy to the body's many metabolic operations. Therefore, it is dubbed "Energy Currency of the Cell". ATP can be utilized to store energy for future reactions or it can be used to pay for reactions when the cell need energy. Animals use ATP to store the energy received from food breakdown. Similarly, plants use ATP molecules to collect and store the energy they receive from light during photosynthesis.

Here,

The majority of ATP is produced during cellular respiration within the mitochondrial matrix, which produces around thirty-two ATP molecules for every molecule of oxidized glucose.

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what is the mole fraction of ethanol c2h5oh in an aqueous solution in which the ethanol concentration is 4.6 molal

Answers

The mole fraction of ethanol, C2H5OH is 0.076 that can be calculated by using the density of water.

The mole fraction of any solution is described because the ratio of the quantity of moles of that is present withinside the technique to the entire quantity of moles of all of the additives of the solution. Molarity on the other hand is the ratio of moles to the volume.

Molecular mass of ethanol = 46g

The molarity of the solution is 4.6 molal=4 moles in 1L solution

Molecular mass of water =18g

Density of water = 1kg/m3 = 1000g/L

So, mass of water in 1 l solution = 1000g

So moles = 1000/18 = 55.55 moles

Thus, mole fraction of ethanol= 4.6/(4.6+55.6) =0.076

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Is this water or oil

Answers

Answer:

it is oil.

Explanation:

it is oil because if water was written that would be wried so I think it is oil.

Explain what it means for materials to move down their concentration gradient and up their concentration gradient.

Answers

Moving down the concentration gradient means that materials move from an area of high concentration of the material to an area of low concentration of the material.

What is concentration?

In chemistry, concentration is the amount of a substance in a given space. Another way to describe concentration is the proportion of the solute to a solvent or entire solution. In general, mass/unit volume is used to express concentration. Instead of using volume, concentration can be stated as a mass per unit. Although concentration is typically used to describe chemical solutions, it may be computed for any mixture.

This can be seen in osmosis, where water moves from a higher concentration of solute to a lower concentration of solute.

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Entropy and the inefficiency of energy transfer are part of __________________. the first law of thermodynamics the second law of thermodynamics the third law of thermodynamics system resiliency feedback systems

Answers

Entropy and the inefficiency of energy transfer are part of the Second Law of Thermodynamics.

The first law of thermodynamics states that neither creation nor destruction of energy is possible. The universe becomes more entropic when a spontaneous process occurs, according to the second law of thermodynamics. Thermodynamics' third law: The entropy of a perfect crystal is 0 at absolute zero Kelvin. The overall entropy of a system may only ever increase or stay constant during spontaneous processes, according to the second law of thermodynamics. If the physical process is irreversible, the overall entropy of the system and its surroundings must increase. For a process to be irreversible, the final entropy needs to be higher than the starting entropy: Sf > Si (irreversible process). The overall entropy of a system and its surroundings can remain constant when a system is in thermodynamic equilibrium or undergoing a reversible process. The second law is sometimes known as the Law of Increased Entropy.

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The following reaction occurred when a strip of aluminum was placed in a nickel solution. Which half-reaction represents the oxidation that has occurred in the reaction?

Answers

The reaction that shows oxidation is the one that has been shown in option D.

What is oxidation?

We have to know that the process that we call oxidation would have to do with the loss of the electrons that we have in a system. If we are dealing with a neutral atom that has been oxidized then we would see an increase in the oxidation number of the atom. This same effect would be seen if we are looking at the oxidation of any other chemical specie that is under consideration.

Ni lost and electronNi^2+ was formedA total of two electrons were lost in the process.

We need to look at the reactions that have been shown in the options that we have and then compare it with the overall redox reaction equation that we see at it has been shown in the reaction that has been attached to the question that we have in the attachment that is shown above here.

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Spreadsheets are super helpful in helping you stay organized when calculating recipe costs because they have different rows and columns to track all your _____ individually and what they cost.

Question 1 options:

ideas


customers


ingredients


reviews

Question 2 (1 point)
Ryan is a baker who likely does what to his ingredients rather measuring them out with cups?

Question 2 options:

splitting up


sharing


weighing out


cultivating

Question 3 (1 point)
What company has a trade secret that claims to use "eleven herbs and spices," supposedly scribbled on a piece of yellow notepaper inside an iron safe in Louisville, Kentucky, and as the story goes, the safe is actually a vault surrounded by cameras, motion-detectors, and even guards!

Question 3 options:

Chik-Fil-A


Coca Cola


McDonald's


Kentucky Fried Chicken

Question 4 (1 point)
What kind of measuring device comes in sets, with each part of the set holding a pre-determined volume and increasing in size from ¼ to 1?

Question 4 options:

strain measuring spoons


conversion measuring spoons


tare measuring cups


standard measuring cups

Question 5 (1 point)
What kind of cups for measuring are sometimes made from glass or something transparent so the markings on the side with different measurements are visible?

Question 5 options:

graduated measuring cups


standard measuring cups


tare measuring cups


Maillard measuring cups

Question 6 (1 point)
Schools, hospitals, prisons, universities, summer camps, and government buildings are just a few examples of the types of institutions and commercial kitchens that depend on what kind of recipes on a daily basis?

Question 6 options:

trade secret recipes


small volume recipes


improvised recipes


standardized recipes

Question 7 (1 point)
As a big-time chef, your job entails nothing more than simply putting out spectacular food.

Question 7 options:

True


False

Question 8 (1 point)
Rice never loses its food value, regardless of how many times its rinsed.

Question 8 options:

True


False

Question 9 (1 point)
When a food cost analysis is properly done, it can serve as a tool to monitor your overall expenses so you can make a profit and stay within the confines of your budget.

Question 9 options:

True


False

Question 10 (1 point)
When looking for consistency and reliability, in cooking and other endeavors, it's far better to rely on what rather than guesswork?

Question 10 options:

intuition


hypotheses


numbers


estimates

Question 11 (1 point)
Most failing restaurants find themselves in trouble because they do not understand the what that is associated with what they are doing?

Question 11 options:

cost


time


resilience


integrity

Question 12 (1 point)
When adhering to the ABCs of eating when planning out your diet, ensuring that you are not too heavy on fat, salt, or sugar means that you are using what?

Question 12 options:

adequacy


moderation


variety


balance

Question 13 (1 point)
Inventory control provides predictable information on the quantity of ingredients needed for each _____ cycle.

Question 13 options:

revenue


standardized


nutrient


production

Question 14 (1 point)
As delightful as it is to design a delicious, exciting, and colorful menu, it is equally as important to see the hidden costs and risk behind every decision.

Question 14 options:

True


False

Question 15 (1 point)
What happens to ingredients through the process of trimming, cleaning, and cooking?

Question 15 options:

They shrink.


They grow.


They disintegrate.


They multiply.

Answers

Answer:

A-Ideas

Explanation:

Which of the following properties of covalent compounds are influenced by ionic character?
a. melting point
b. boiling point
c. viscosity
d. all of the above

Answers

The property of the covalent compound that is influenced by ionic character is boiling point. Option B

What is the ionic character?

We know that for compounds, the kind of bonds that they have are usually neither here nor there. The bonds would have an ionic character and also a given amount of the covalent character.

We must note that the ionic character of a bond is very important when we discuss intermolecular interactions and they do affect the boiling points of the substances very much.

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A car has a mass of 2,050 kg and is traveling at 28 meters per second. What is the car's kinetic energy?

Answers

After solving the equation the car's kinetic energy is 783,500 kg m2/s2.

What is kinetic energy?

Kinetic energy is the energy of motion, or the energy associated with an object or system due to its motion. It is a form of energy that can be converted into other forms of energy, such as thermal energy, sound energy, electrical energy, and so on.

The car's kinetic energy is the energy it has due to its motion. Kinetic energy is calculated as KE = 1/2mv2, where m is mass and v is velocity. In this case, the car has a mass of 2,050 kg and is traveling at 28 meters per second. Plugging these values into the equation gives:
KE = 1/2(2050 kg)(28 m/s)2
= 1/2(2050 kg)(784 m2/s2)
= 783500 kg m2/s2
Therefore, the car's kinetic energy is 783,500 kg m2/s2.

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2POCl3(g)---> 2PCl3(g)+O2(g), deltaH_o=572 kJ, delta S_o=179 J/K
At what temperature (if any) would the decomposition of POCl3 become spontaneous?

Answers

At T=3195.53 Kelvin, decomposition of PoCl3 becomes spontaneous.

What is meant by spontaneous?

In chemistry, spontaneous processes is one that occurs without addition of external energy. Spontaneous process can occur quickly or slowly, because spontaneity is not related to the kinetics or reaction rate.

Spontaneous reaction happens in given set of conditions without interruptions whereas the nonspontaneous reaction occurs with the help of external agents like heat or energy.

Given, ∆H=572KJ and ∆S=0.179J/K

According to thermodynamical concept;

As, T=∆H/∆S,

=572/0.179

= 3195.53 Kelvin

We know, change in Gibbs free energy (∆G)=0 ; which shows that reaction is in equilibrium.

Above this temperature the reaction becomes spontaneous and moves in  forward direction.

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Which of the following can result in deviations from Beer\'s law when the path length is constant? Solute concentrations less than 0.01 M Stray light reaching the detector The absorbing species undergoes dissociation or association The sample is homogeneous The use of polychromatic radiation

Answers

The option that can lead to deviations from Beer's law at constant path length is option A.

Using monochromatic radiation All radiation that was not absorbed by his sample when stray light reaches the detector is transmitted to the detector.

All of the above factors can lead to deviations from Beer's Law if the path length is constant. Optical pathlength refers to the distance that light travels through a sample and is usually kept constant in spectrophotometric experiments in order to accurately measure the sample's absorbance.

Therefore, unless monochromatic radiation is used, the absorbance of the sample may not accurately reflect the concentration of the solute, as different wavelengths of light may be absorbed differently.

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Which of the following would be a reasonable unit for the rate constant of a second order reaction?
1. mol/L.sec
2. mol2/sec.L2
3. 1/sec
4. L/mol.sec
5. L2/mol2.sec

Answers

Option (4) is correct. The rate constant of a second order reaction has the unit  L/mole. sec.

In the Second order reaction the rate is proportional to the square of the concentration of one reactant. Rate of Second order reaction  is proportional to the product of the concentrations of two reactants. Such reactions generally have the form,

A + B → products.

Each monomer combines to form a larger molecule is called dimer. For the units of the reaction rate to be moles per liter per second (M/s), the units of a second-order rate constant must be the inverse (M−1·s−1). Because the units of molarity are expressed as mole/L, the unit of the rate constant can also be written as L(mole ·s).

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PbO + NaOH →→
complete and balance the following formula​

Answers

Answer:

Explanation:

Pb(OH)2 + 2NaOH → Pb(OH)2 + 2NaOH

The balanced equation would be PbO + 2NaOH → Pb(OH)2 + Na2O

The reactant PbO is a lead oxide which is an acidic oxide, it reacts with NaOH, a strong base, to form Pb(OH)2, a lead hydroxide, which is a salt of lead, and Na2O which is sodium oxide , a base.

Calculate the moles in 8334 grams of krypton, show work

Answers

The molar mass of krypton is 83.798 g/mol. To calculate the number of moles in 8334 grams of krypton, we can divide the mass in grams by the molar mass:

moles = 8334 g / 83.798 g/mol
= 99.47 moless.s.

Therefore, there are 99.47 moles of krypton in 8334 grams.

An oxygen-binding protein was purified from a mollusk. It was found to exhibit fluorescence, which means that it has amino acid residues that absorb light of one wavelength and then emit light of a longer wavelength. Generally, the more exposed these residues are to solvent, the greater their fluorescence intensity. When placed in a deoxygenated buffer solution, the protein's fluorescence was measured and assigned a value of 1.0. Then the amount of protein fluorescence was measured under various other conditions and expressed relative to the initial measurement. The results are summarized in the table. Which conclusion is supported by these results

Answers

The conclusion is supported by these results is binding of oxygen to the protein changes the protein's tertiary structure to a conformation that resists the effects of urea.

Simple definition of fluorescence

Fluorescence is a property that some chemicals have that allows them to emit visible light after absorbing radiation that is typically invisible, like ultraviolet light.

Fluorescence is the name given to the process of electromagnetic radiation typically visible light emitting from a material as a result of atoms being excited. These excited atoms almost immediately (within 10⁻⁸ seconds) begin emitting again. In most cases, the initial excitation is brought on by the energy absorption of incident radiation or particles, like X-rays or electrons.

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What is measuring tools for sewing?

Answers

Measuring tools like Clear ruler, yardstick, measuring tape etc. They are very useful for the perfect fit and shape of any garment and even home furnishing.  

Sewing is the craft of fastening or attaching objects using stitches which is made up of a sewing needle and thread.

Measuring tools are the instruments used by practitioners and researches to aid in the assessment or evaluation of the subjects, clients or patients etc. These instruments are used to measure or collect the data on a variety of variables ranging from psychosocial wellbeing or physical functioning.

Measuring tools in sewing are as follows: Measuring tape, clear ruler, quilting ruler, yardstick, French curve etc.

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when a set amount of marble chips (caco3) is added to a small amount of dilute hydrochloric acid, a reaction occurs. what should be done to decrease the rate of reaction the next time the experiment is performed

Answers

A tiny amount of weak hydrochloric acid is mixed with a quantity of marble chips (CaCO3), to decrease the rate of reaction we do decreasing the surface area of the marble chips, decreasing conc. HCL and many more.

Several ways are:-

1. Decreasing the surface area of the marble chips: By breaking the marble chips into smaller pieces, the surface area that is available for the acid to react with is reduced, slowing down the reaction.

2. Decreasing the concentration of the hydrochloric acid: By using a less concentrated solution of hydrochloric acid, the number of acid molecules available to react with the marble chips is reduced, slowing down the reaction.

3. Increasing the temperature: By performing the reaction at a lower temperature, the kinetic energy of the acid and marble chip molecules is reduced, slowing down the rate of collision between them, which slows down the reaction.

4. Using a catalyst: Addition of a catalyst to the reaction can change the reaction mechanism and decrease the activation energy needed for the reaction to occur, thus slowing down the reaction.

5. Using an inhibitor: An inhibitor is a substance that slows down the reaction by binding to the enzyme or catalytic site and preventing the substrate from binding.

It's important to note that these methods may also affect the overall yield of the reaction, so it's essential to use the appropriate method(s) for the specific experiment and goals.

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The function t=f(a) models the time, in minutes, for a chemical reaction to occur as a function of the amount a of catalyst used, measured in milliliters. What are the units for f′′(a) ?

Answers

The unit of f''(a) is milliliters/minute^2

The function t=f(a) models the time, in minutes, for a chemical reaction to occur as a function of the amount a of catalyst used, measured in milliliters.

So, here double differentiation is to be done.

t=f(a)

differentiating with respect to t,

d(t)/dt = d(f'(a))/dt

or, d(f'(a))/dt = 1

again differentiating with respect to t,

d [d(f'(a))/dt]/dt = d(1)/dt = 0 ...1

or, f''(a) = 0

so, here if we put 'unit expression' in Left hand side of 1

it is d [d(f'(a))/dt]/dt  i.e.  mililiters/miniute/minute [as given t is measured in minute and f(a) is measured in ml)

or, ml/minute^2

so as we are performing double differentiation, the unit of f''(a) is milliliters/minute^2

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