1.567 g of solute is needed to make 3450 ml of a 2.25 M solution of Ca(NO3)2.
How does molarity work?The amount of a substance in a specific volume of solution is known as its molarity (M). The number of moles of a solute per liter of a solution is known as molarity. The molar concentration of a solution is another name for molarity.
What does a solution's molarity mean?Molarity (M), which is determined by dividing the solute's mass in moles by the volume of the solution in liters, is the most widely used unit to express solution concentration: liters of solution/moles of solute equals M. One liter of a solution with a 1.00 molar concentration (1.00 M) contains 1.00 moles of solute.
No. of moles of NO₃⁻ = (0.1528 mol/L) × (125.00/1000 L) = 0.0191 mol
Each mole of Ca(NO₃)₂ contains 2 moles of NO₃⁻.
No. of moles of Ca(NO₃)₂ = (0.0191 mol) × (1/2) = 0.00955 mol
Molar mass of Ca(NO₃)₂ = (40.078 + 14.007×2 + 15.999×6) g/mol = 164.086 g/mol
Mass of Ca(NO₃)₂ required = (0.00955 mol) × (164.086 g/mol) = 1.567 g
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Draw the major organic product of the reaction shown. HI OH
There are so many types of chemical reaction reaction like combination reaction, double displacement reaction, nucleophilic substitution reaction etc. Therefore, the major organic product of the reaction shown is 2-Iodo-2,3-dimethylbutane.
What is nucleophilic substitution reaction?
One nucleophile substitutes another in a family of organic reactions known as nucleophilic substitution reactions.
SN1 stands for nucleophilic substitution reaction. Leaving group, a nucleophile, electrophile and a solvent are present. The first step is the slowest because a bond is being broken to form carbocation by the attack of hydrogen ion from the HI acid. Then carbocation rearrangement takes place. Attack of iodide ion to form product 2-Iodo-2,3-dimethylbutane.
Therefore, the major organic product of the reaction shown is 2-Iodo-2,3-dimethylbutane.
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What is the freezing point of urea solution which contains 0.6 gram of urea in hundred ml of water?
The freezing point of pure water is 0°C, the urea solution freezes at –0.186°C.
The temperature at which a liquid solution freezes to a solid is a little lower than the freezing point of the pure solvent. The freezing point depression phenomena has a straightforward relationship to the solute concentration.
The molecular weight of Urea is
14 + 2(1) + 12 + 16 + 14 + 2(1) = 60 g/mole
The number of moles of Urea = 0.6g / 60 = 0.01moles
and the concentration of the solution in moles per kilogram of water is
0.01 moles / 0.100 kg H₂O = 0.1 molal
By taking the freezing point constant for water as 1.86
Δ T f = 1.86°C/m × 0.1 m
Δ T f = 0.186
Because the freezing point of pure water is 0°C, the urea solution freezes at –0.186°C.
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Calculate the approximate initial boiling point (in oc) of a solution of 285 g of magnesium chloride in 2. 0 kg of water. (assume complete dissociation of the salt. ).
The approximate initial boiling point of Magnesium chloride solution is 102.33 [tex]^0 C[/tex].
The boiling point of normal water is 100 [tex]^0 C[/tex]. but due to additon of solvent the boiling point of water increases by Δ[tex]T_b[/tex] and given by:
Δ[tex]T_b[/tex] = [tex]i*k_b*m[/tex]
Where, i is van't Hoff factor
[tex]k_b[/tex] is ebullioscopic constant
m is the molality of the sample
The reaction which involves the addition of magnesium chloride in water is:
[tex]MgCl_2- > Mg^2^+ + 2Cl^-[/tex]
so van't Hoff factor(i) is defined as number of molecules formed after reaction so magnesium chloride complete dissociate to form 1 magnesium ion and 2 chlorine ion so total 3 ions is formed and hence
i(van't Hoff factor) = 3
[tex]k_b[/tex] = 0.52°C/m for water
m = [tex]\frac{m_s_o_l_u_t_e}{molar mass (mgcl_2)} * \frac{1000}{m_s_o_l_v_e_n_t}[/tex]
molar mass([tex]mgcl_2[/tex]) = 95.211 [tex]\frac{g}{mole}[/tex]
m= [tex]\frac{285}{95.211} *\frac{1000}{2000}[/tex]
=> 2.9933*0.5
so m= 1.49 M
Δ[tex]T_b[/tex] = [tex]i*k_b*m[/tex]
=> 3 * 0. 52 *1.49 [tex]^0C[/tex]
=> 2.33 [tex]^0C[/tex]
Δ[tex]T_b[/tex] = T - 100 [tex]^0C[/tex]
T = Δ[tex]T_b[/tex] + 100
so T = 102.33 [tex]^0C[/tex]
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The conjugate acid of CH3COO- is _____________. The conjugate acid of F- is _______________. The conjugate acid of CN- is ______________. The conjugate acid of PO43- is _____________.The conjugate base of CH3COOH is _________________. The conjugate base of HCl is ______________. The conjugate base of H2SO4 is _________________. The conjugate base of H2S is _______________. The conjugate base of H3PO4 is _________________. The conjugate base of NH4+ is ___________________.Na2HPO4 is soluble and exists in two units of the cation Na+ and one unit of the anion __________________. The conjugate base of this anion is _____________________. Na3PO4 is soluble and exists in three units of the cation Na+ and one unit of the anion ___________________. The conjugate acid of this anion is __________________.
The conjugate acid of CH3COO- is CH3COOH. The conjugate acid of F- is HF. The conjugate acid of CN- is HCN. The conjugate acid of PO43- is HPO4(2-).The conjugate base of CH3COOH is CH3COO-. The conjugate base of HCl is CL-. The conjugate base of H2SO4 is HSO4-. The conjugate base of H2S is HS-. The conjugate base of H3PO4 is H2PO4-. The conjugate base of NH4+ is NH3. Na2HPO4 is soluble and exists in two units of the cation Na+ and one unit of the anion Na+ AND HPO4^2-. The conjugate base of this anion is PO4^3-. Na3PO4 is soluble and exists in three units of the cation Na+ and one unit of the anion PO4^3-. The conjugate acid of this anion is HP04^2-.
According to the Brnsted-Lowry acid-base theory, a conjugate acid is a chemical that is produced when an acid donates a proton (H +) to a base; in other words, it is a base that has had a hydrogen ion added to it, as in the opposite reaction, the base loses a hydrogen ion. A base is made when a proton from an acid is taken on, while an acid is produced when a base accepts one. An acid and a base that only differ by the presence or absence of a proton are said to be conjugate acid-base pairs.
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tag all the sp hybridized carbon atoms in this molecule. (just press check if there are none.)
Hybridization is the process of redistribution of the energy of orbitals of individual atoms to give orbitals of equivalent energy happens when two atomic orbitals combine to form a hybrid orbital in a molecule.
The term that is used to indicate the intermixing of atomic orbitals with the same energy levels to give the same number of a new type of hybrid orbitals. This kind of intermixing usually results in the formation of hybrid orbitals which have entirely different energies, shapes, etc.
Orbitals present only in central atom would undergo hybridization. The orbitals containing almost the same energy level combine to form hybrid orbitals. The total numbers of atomic orbitals mixed together are always equal to the total number of hybrid orbitals.
The given question is incomplete so I have answered according to my own knowledge.
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which of the following best represents the structure of an amino acid in basic solution (ph = 11)?
Organic compounds that contain alike amino as well as carboxylic acid functional groups are known as amino acids.
Although thousands of amino acid residues exist in nature, the alpha-amino acids that comprise proteins are unquestionably the most important. The genetic code contains only 22 alpha amino acids.
An amino acid's structure allows it to function as both a base and an acid. Because nearly all amino acid molecules exist as zwitterions at a specific pH value (different for each amino acid), an amino acid has this ability. When acid is added to a zwitterion-containing solution, the carboxylate group manages to capture a hydrogen (H+) ion, causing the amino acid to become positively charged.
When a base is added, the ion removal of the H+ ion from the zwitterion's amino group results in a negatively charged amino acid. In both cases, the amino acid serves to maintain the pH of the system by removing the added acid (H+) or base (OH) from solution.
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Chemists can identify the composition of some unknown salts by conducting a flame test. When potassium salts are heated in a flame, a purple color is observed.
This is due to the movement of electrons between energy levels. What is the electron configuration of a potassium atom at ground state?
answer choices
1s2; 2s2; 2p6; 3s2; 3p6; 4d1
1s2; 2s2; 2p6; 3s2;3p6; 3d1
1s2; 2s2; 2d6; 3s2; 3d6; 4s1
1s2; 2s2; 2p6; 3s2; 3p6; 4s1
The electron configuration of a potassium atom at ground state is 1s²2s²2p⁶3s²3p⁶4s¹. Therefore, option D is correct.
What is an electronic configuration?The electron configuration of an element can be explained as electrons being occupied in different energy levels of an atom of a specific element. In the electron configuration, the electrons are usually written as a superscript of atomic subshells. For example, the electron configuration of Helium can be represented as 1s²2s².
The sequence of completely filled subshells similar to neighboring the electronic configuration of a noble gas is represented by square brackets. The principal quantum number (n) will be used to denote the maximum number of electrons in an electron shell.
The total number of electrons occupied in the given electronic configuration 1s²2s²2p⁶3s²3p⁶4s¹ is 19. The atomic number of potassium is 19 therefore it is the configuration of potassium.
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0.655 moles NH3 in grams
Answer:
hope this answer will help you
Explanation:
As we know that
number of moles=mass/molecular mass
so we moles and we know the molecular mass of NH3 which is 17 we simply multiply no. of moles with molecular mass to get mass in gram
0.655×17= 11.135g
A 10.0-L rigid container holds 3.00 mol H2 gas at a pressure of 4.50 atm. What is the temperature of the gas? Use: PV = nRT, R = 0.0821 L•atm/mol•K K
The temperature of the gas, given that the container holds 3.00 moles of H₂ gas at a pressure of 4.50 atm is -90.3 °C
How do I determine the temperature of the gas?Ideal gas equation states as follow:
PV = nRT
Where
P is the pressure V is the volumen is the number of moleR is the gas constantT is the temperatureUsing the above formula we can obtain the temperature of the gas as follow:
Volume (V) = 10.0 L Number of mole (n) = 3.00 molesPressure (P) = 4.50 atmGas constant (R) = 0.0821 atm.L/Kmol Temperature (T) =?PV = nRT
4.5 × 10 = 3 × 0.0821 × T
45 = 0.2463 × T
Divide both sides by 0.2463
T = 45 / 0.2463
T = 182.7 K
Subtract 273 to obtain answer in °C
T = 182.7 - 273
T = -90.3 °C
Thus, the temperature is -90.3 °C
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Answer:
183 K
Explanation:
Edg
N each reaction box, place the best reagent or reactant from the list supplied. Stoichiometry is omitted
Stoichiometry is omitted reactant. Reactants are the substances that participate in a chemical reaction. The process by which atoms, the fundamental building blocks of matter.
Rearrange themselves to form new combinations is described by a chemical reaction. Reactants - Reactants are the substances that participate in a chemical reaction. Products - Substances formed as a result of the formation of new bonds in a chemical reaction are referred to as products. As an example: H2 and O2 are reactants in this case because they participate in the chemical reaction. Reactants are the starting materials and appear on the left side of the equation. The products of the reaction are written on the right-hand side of the equation.
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a cylinder with a moveable piston contains 0.519 mol of gas and has a volume of 240 ml .what will its volume be if an additional 0.213 mol of gas is added to the cylinder? (assume constant temperature and pressure.)
After solving the equation the final volume of gas is 338.50ml.
What is Avogadro's law?
It states that, when the temperature and pressure are held constant, the volume of a gas is directly proportional to the number of moles of a gas.
⇒ V α n
In this problem ,
Initial volume , V₁ = 240ml
Initial number of moles = 0.519 mol
final number of moles = 0.519 + 0.213
= 0.732 mol
By Avogadro's law
V₁/n₁ = V₂/n₂
V₂ = V₁ × n₂ / n₁
= 240×( 0.732 / 0.519)
= 338.50ml
Therefore final volume of gas is 338.50ml
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which one or more of the three decay processes (α, β-, or γ) results in a new element?
α and β decay processes new elements.
The process by which unstable nuclei of radioactive atoms are becoming stable by emitting positive ions and energy is known as radioactive decay. Radioactive decay is classified into three types: alpha decay, beta decay, and gamma decay. Alpha and beta decay are processes that convert one element into another.
There seem to be three types of decays: α - decay, β – decay and γ – decay.
The nucleus loses two protons and two neutrons during alpha decay, resulting in the formation of a new element with just an atomic number that is two less than the original atomic number.
The new atomic number = the initial atomic number - 2
The neutron inside the core decays into one proton and one electron during beta decay, and the electron is emitted as a beta ray while the proton remains inside the nucleus.
As a result, it generates a new element with an atomic number that is one higher than the original atomic number.
The new atomic number = the initial atomic number + 1.
There is no change throughout charge or mass in the nucleus during gamma decay. As a result, the atomic number remains constant.
As a result, only α decay and β decay produce new elements.
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how many ionic bonds are in copper?
The number of ionic bond in copper is zero.
Pure copper or any pure metal for that matter are examples of metallic bonds, which are neither ionic nor covalent. The copper atoms are stacked very tightly in a solid lattice. In fact it has a face centered cubic lattice which is the closed packing of atoms possible. Each atom has twelve nearest neighbors which allows their 4s orbitals (mostly) to have the optimal overlap. All of these orbitals therefore combine in one gigantic band of delocalized orbitals that spans the entire crystal with its myriad atoms. This band is only partly filled and the difference in energy between one state and the next is puny, which explains copper’s outstanding conductive properties.
Therefore, the bonding in copper has a metallic character.
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Intermolecular forces are all some kind of: lecture 9
All intermolecular forces include electrostatic attraction in some way.
Electrostatic interactions are the source of intermolecular forces; this means that they are created when positively and negatively charged species come into contact with one another. Intermolecular interactions, much like covalent and ionic bonds, are the result of the addition of components that are both attractive and repulsive. The electromagnetic forces of attraction or repulsion that act between atoms and other types of neighboring particles, such as atoms or ions, are examples of intermolecular forces, also known as secondary forces. An intermolecular force, also known as an IMF (or secondary force), is the force that mediates the interaction between molecules.
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What is the chemical reaction for chocolate?
The color of the beans darkens, and the bean shells become fragile. The process transforms the flavor-precursors in the bean into the compounds that give chocolate its scent and flavor.
What two compounds are found in chocolate?Caffeine and theobromine are both found in coffee and chocolate. The cacao plant produces theobromine, a member of the alkaloid family of substances, along with many other plants. Coffee and tea also contain some theobromine, but chocolate is the best natural source.
What substances are present chemically in chocolate?There are numerous organic chemicals used to make chocolate. This means that there are three ingredients that chocolate must definitely include. These are the three elements that make up carbon, oxygen, and hydrogen.
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how would the concentration change if a 1.0 l flask of 1.0 m nacl were left uncapped on a laboratory bench for several days. why?
The concentration progressively increased as the water from the solution evaporated. This is because the amount in the flask would stay the same but the amount of water would decrease.
How would you make a 1 M NaCl solution in 1 litre?The atomic weight of sodium chloride (NaCl) is 58.44, which equals 58.44 grammes. If you mix 1 litre of finished solution with 58.44g of NaCl.
How does a 1.0% solution of NaCl dissolve?One gramme of solute is present in a 100 milliliter final volume one percent solution. For instance, a 1% NaCl solution is made by dissolving 1 g of sodium chloride in 100 ml of distilled water.
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Question 16 of 30
The graph below shows how the temperature and volume of a gas vary when
the number of moles and the pressure of the gas are held constant. What
happens to the temperature of a gas as its volume increases?
A. The temperature decreases.
OB. The temperature doubles.
OC. The temperature increases.
D. The temperature remains the same.
The temperature of a gas as the volume of the gas increases and the temperature also rises.
Explain about the pressure?A location inside a gas experiences pressure in all directions. The pressure force at a gas' surface acts perpendicular to the surface. If the gas is moving overall, the measured pressure will differ according to the motion's direction.
The force that is dispersed over a unit area per time perpendicular to an object's surface.
Pressure is the term for the physical force that is exerted on an object. The force is applied perpendicularly to the objects' surfaces per unit area. F/A is the basic formula for pressure (Force per unit area). Pressure is measured in Pascals (Pa). There are four distinct types of pressure: gauge, absolute, ambient, and differential.
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what happens to the atomic radius as you move across a period from left to right?
a. Remains constant
b. Decrease first and then remains constant
c. Decrease
d. Increase
How many grams of KCl would be dissolved in 60 grams of water to give 20% by weight of solution?
To get a 20% by weight solution, 0.167 grams of KCl must dissolve in 60 grams of water.
What is a percentage by weight?Weight by weight is the ratio of one material to another in a mixture, as determined by weight or mass.A solution is a specific kind of homogenous mixture made up of two or more components that is used in chemistry. A solute is a substance that has been dissolved in a solvent, which is the other substance in the mixture.In addition to molarity, normalcy, or molality, solutions can be defined in terms of various concentrations. Sometimes, the relative percent concentration of a solute in a solution is used to describe solutions. Divide the mass of the solute by the mass of the solution (the solute and solvent together), multiply by 100 to get the weight percentage of the solution.For more information on molarity kindly visit to
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What are the 5 valence electrons?
Explanation:
Elements that have five valence electron are the group 15 element's. Those elements includes Nitrogen (N), Phosphorus (P), Arsenic(Ar) and Antimony (Ab).
which point on the potential energy diagram corresponds to the species below for the reaction of 2-methylpropene with hydrogen chloride?
The point B is the diagram in which it has the Highest maximum energy level shown Here For the reaction of 2-methylpropene with hydrogen chloride.
The least strong conformation is the eclipsed conformation in which the methyl and the hydrogen atom are gift near every different and enjoy pressure repulsion on every different.
This ends in steric difficulty and makes the molecule unstable.Isobutylene (or 2-methylpropene) is a hydrocarbon with the chemical formula (CH3)2C=CH2. It is a 4-carbon branched alkene (olefin), one of the 4 isomers of butylene.2−methyl propene is greater reactive with HCl than propene as the +I impact of methyl businesses makes double bond greater electron wealthy and for the duration of electrophilic addition, a tertiary carbocation intermediate is received that's greater strong than secondary carbocation intermediate.
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Part B beryllium and iodine Express your answer as a chemical formula. ΑΣφ h t o ? ха x) a 5 1 5 * x A chemical reaction does not occur for this question. Use subscripts to represent the number of each type of atom or ion in a molecule. Review how to insert subscripts and more No credit lost. Try again Submit Previous Answers Request Answer Part D calcium and iodine Express your answer as a chemical formula. O ΑΣΦ - t ? ха a b xo a b 个 х X A chemical reaction does not occur for this question. Submit Previous Answers Request Answer
Beryllium and iodine do not react to form a compound. The chemical formula for beryllium is Be and the chemical formula for iodine is I. Calcium and iodine can react to form calcium iodide, which has the chemical formula CaI2.
In a chemical reaction, atoms can rearrange themselves to form new compounds by bonding together. The number and type of atoms in the reactants (the starting substances) must be balanced with the number and type of atoms in the products (the substances formed in the reaction). This balance is expressed through the use of chemical formulas.
In the case of beryllium and iodine, there is no chemical reaction that occurs between these two elements. Therefore, the chemical formula for this combination would simply be the symbols for beryllium (Be) and iodine (I) side by side, with no subscripts or other notation indicating a chemical bond between them.
On the other hand, calcium and iodine can react to form calcium iodide, which is a compound made up of calcium and iodine atoms bonded together. The chemical formula for calcium iodide is CaI2, which indicates that there is one calcium atom (represented by the symbol Ca) and two iodine atoms (represented by the symbol I) in each molecule of calcium iodide. The subscript "2" after the symbol for iodine indicates that there are two iodine atoms present.
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How does water temperature affect chemical sanitizers?
Sanitizers typically operate at temperatures from 75°F and 120°F.Chlorine compounds can corrode some metal objects at higher temperatures.
Which are some of the elements that influence how chemical sanitizers work?Temperatures, pH, relative humidity, & water hardness are other physical and chemical variables that affect disinfection processes.
Does the temperature affect how well a chemical sanitizing solution works?Solutions containing chlorine for sanitizing must have a lowest temperature of 75°F.At lower temperatures, they perform worse.Chlorine can evaporate from of the solution and damage some metals at temperatures higher that 120°F.Generally speaking, all sanitizers function best between 75° & 120°F.
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How many Mg atoms are found in 1.00 mole of Mg?
The number of the Mg atoms are present in the Mg ( magnesium ) in the 1.00 mole of the Mg with molar mass of 24.30 amu is the 6.023 × 10²³ atoms.
The molar mass of the Mg = 24.03 amu
The atomic number of the Mg = 12
the number of moles is given below :
number of moles = mass / molar mass
1 mole of the Mg is equals to the 6.023 × 10²³ atoms.
1 mole of Mg = 6.023 × 10²³ Mg of atoms.
Thus, the 1 mole of Mg contains 6.023 × 10²³ Mg of atoms.
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oxygen is estimated to make up 28.7% of the mass of ordinary matter on earth, while magnesium makes up 15.4%. estimate the ratio of the number of oxygen atoms to the number of magnesium atoms on earth. 2.82 2.88 3.22 2.73
In the given question, option a. 2.82 is the predicted ratio of the amount of oxygen atoms to the number of magnesium atoms on Earth.
Matter is anything that has mass and takes up space. It can exist in different forms, such as solid, liquid, or gas, and it is made up of tiny particles called atoms.
To estimate the ratio of the number of oxygen atoms to the number of magnesium atoms on earth, we need to compare the mass percentage of each element with their atomic masses.
The atomic mass of oxygen is 16, while the atomic mass of magnesium is 24.31.
The mass percentage of oxygen is 28.7%, so the mass of oxygen in 100 grams of ordinary matter is 28.7 grams.
The mass percentage of magnesium is 15.4%, so the mass of magnesium in 100 grams of ordinary matter is 15.4 grams.
The number of oxygen atoms in 28.7 grams of oxygen is (28.7 g / 16 g/mol) = 1.79 moles of oxygen.
The number of magnesium atoms in 15.4 grams of magnesium is (15.4 g / 24.31 g/mol) = 0.634 moles of magnesium.
The ratio of the number of oxygen atoms to the number of magnesium atoms: [tex]\rm \dfrac {(1.79 \ moles\ of \ oxygen)} { (0.634\ moles \ of \ magnesium) }[/tex]
= 2.82
Therefore, the estimated ratio of the number of oxygen atoms to the number of magnesium atoms on earth is option a. 2.82.
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Your question is incomplete but most probably your full question was:
Oxygen is estimated to make up 28.7% of the mass of ordinary matter on earth, while magnesium makes up 15.4%. estimate the ratio of the number of oxygen atoms to the number of magnesium atoms on earth.
a. 2.82
b. 2.88
c. 3.22
d. 2.73
What is the charge of an element with 3 valence electrons?
An element with three valence electrons has an effective nuclear charge of 2.
What is the length of three?Eight elements make up the third period: silicon, phosphorus, magnesium, aluminum, silicon, sulfur, chlorine, and argon. The first two, sodium and magnesium, are found in the periodic table's s-block, while the remaining elements are found in the p-block.
The third period elements are also known as typical elements or representative elements since they accurately reflect the characteristics of their own group without any aberrations. Eight elements make up the third period, including sodium, magnesium, aluminum, silicon, phosphorus, sulfur, chlorine, and argon.
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Is the freezing point constant always negative?
No, the freezing point can be either positive or negative, depending on the substance.
What is substance?Substance is a term used to refer to a material or matter that possesses a certain physical property or form and can exist either as a solid, liquid, or gas. It is a fundamental concept in chemistry and physics, used to refer to any type of material that has mass and occupies space. For example, water, air, soil, and rocks are all substances. The properties of substances depend on the arrangement of their atoms and molecules and can be used to identify and distinguish different kinds of substances.
For example, the freezing point of pure water is 0°C (32°F).
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complete the mechanism for the cleavage of the ether by adding the missing curved arrows.
The mechanism for the cleavage of the ether by adding the missing curved arrows is attached below.
How do you name ethers in chemistry?Common names of ethers simply give the names of the two alkyl groups bonded to oxygen and add the word ether. The current practice is to list the alkyl groups in alphabetical order (t-butyl methyl ether), but older names often list the alkyl groups in increasing order of size (methyl t-butyl ether).
The reaction given in the attached diagram is known as Acidic Cleavage of Ether. Ether when treated with strong acid like HI, the oxygen atom of ether picks the proton making a positive charge on oxygen.
The Iodide conjugate base formed acts as a nucleophile and attacks on the carbon next to positive oxygen and forms Alkyl Halide.
This is a type of SN² reaction. The complete reaction with missing atoms, charges and arrows is attached below.
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What is the vertex of f/x )=( x 6 )( x 2?
this question is related to set of equations,
The vertex of f(x) = (x-6)(x+2) is as follows:-
For any equation of the type y = ax^2 + bx + c, the vertex is given by (h, k).
Where, h = -b/2a and k = (4ac - b^2)/4a.
Given, the equation is f(x) = (x - 6)(x + 2)
f(x) = x^2 - 6x + 2x - 12
f(x) = x^2 - 4x - 12
Here, a = 1, b = -4 and c = -12
so, h = -(-4)/2(1)
h = 4/2
h = 2
4ac = 4(1)(-12)
4ac = -48
So, k = [-48 - (-4)^2]/4(1)
k = (-48 - 16)/4
k = -64/4
k = -16
Therefore, the vertex is (h, k) = (2, -16).
so, the vertex of f(x)= (x-6)(x+2) is (2, -16).
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by what factor is the rate of a reaction changed if an enzyme lowers the ea by 7.0 kj/mol at 37°c?
32.9 times is the rate of a reaction changed if an enzyme lowers the Ea by 7.0 kj/mol at 37°C.
Using the Arrhenius equation
log (k2/k1) = [Ea (uncatalysed) - Ea (catalysed)] / 2.303x RT
where k2 = rate constatnt of catlaysed reaction
k1 = rate constant of uncatalysed reaction
R = gas constant = 8.314 J/mol.K
T = absolute temperature of the reaction
= 37 + 273 = 310 K
thus
log (k2/k1) = 9x1000J / (2.303 x 8.314x310)
= 1.51
thus k2/k1 = 32.81
The rate at which a chemical reaction occurs is defined as proportional to the rise in product concentration per unit time and the decrease in reactant concentration per unit time. The reaction times may vary substantially.
For example, although oxidative corrosion of iron in the Earth's atmosphere might take years, cellulose burning in a fire happens in fractions of a second. Most responses slow down as the reaction develops.
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