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An atom of phosphorus has 15 protons, 16 neutrons, and 15 electrons. What is the atom's mass number?
Protons and neutrons both have masses of approximately 1 amu, whereas the mass of an electron is negligible. Therefore, the mass number is equal to the number of protons and neutrons, which is 31.
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How many nitrate ions are in one mole of ?
Note that there are two nitrate () ions for every formula unit of calcium nitrate. This means that in one mole of calcium nitrate, there are two moles of nitrate ions. To go from moles to ions, multiply 2 by Avogadro's number.
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How many hydrogen atoms are in one mole of ?
In one molecule of , there are 2 ammonium ions, each of which has 4 hydrogen atoms for a total of 8 hydrogen atoms. Thus, to find the number of hydrogen atoms in one mole of
, one must multiply Avogadro's number by 8.
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Calculate the number of aluminum ions in moles of
.
In order calculate the number of aluminum ions, we must first find the number of aluminum ions in the entire compound. In this case, there are two molecules of for every molecule of
. After understanding this, we can use Avogadro's constant to determine the number of atoms (more specifically ions) of aluminum. See equation below for specific calculations.
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How many atoms of chloride are in 0.2550 g of aluminum chloride, ?
The formula for aluminum chloride is . The molar mass of
is 26.98 g and the molar mass of
is 35.45 g. There are three
atoms in
. To calculate the molecular mass of
, we need to find the sum of the mass of one aluminum atom and three chlorine atoms:
The total molecular weight is 130.33 g. Starting with the grams of , we convert to the amount of moles
using the molecular weight value we just calculated. Then we calculate the number of moles of chloride ion in
. using the 3:1 ratio. Finally, we calculate the number of atoms by using Avogadro's number. See calculations below:
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When the equation for the reaction shown below is balanced with the lowest whole-number coefficients, what is the sum of the coefficients of the reactants?
___ ___
___
___
The coefficients of the equation, when balanced, should be 2, 13, 10, and 8. This problem wants to know the sum of the reactants, so only the coefficients on the left side of the reactants should be added. The sum of 2 and 13 is 15, so 15 is the correct answer.
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What is the formula for the compound formed from calcium and sulfate ions?
In order to answer this question correctly, it is important to have knowledge of the formation of ionic bonds, polyatomic ions, and the periodic table. First, it is important to notice that calcium ions and sulfate ions will form an ionic bond. Knowing this, it can be understood that valance electrons will be exchanged between the ions and therefore, oppositely charged ions that are attracted to each other will be formed.
Calcium is in the second column of the periodic table, so it will provide two ions to the sulfate polyatomic ion. This will form a calcium cation () and a sulfate polyatomic anion (
).
One calcium ion provides two electrons, which are both accepted by a sulfate polyatomic ion, so the ratio of calcium ions used to sulfate polyatomic ions used is 1:1. This means that only one of each ion is needed to form the compound, making the formula .
Initially it may be tempting to write the formula as ; however, since both ions have a "2" subscript in this form, it is redundant to the formula in this way. Only one of each ion is needed to form the compound.
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30 mL of 1.0 M solution is diluted with water to a volume of 3 L. What is the new concentration of the solution?
Recall that Thus, the volume of the solution increased from 30 mL to 3000 mL, which is a factor of 100. Thus, the new concentration must be 100 times less than the original concentration, and
.
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How much faster is the rate of effusion of than the rate of effusion of
?
By Graham's Law, . The molar mass of
is 2 g/mol and the molar mass of
is 18 g/mol. Thus,
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Which of the following has the electron configuration of ?
The task is to find the atom or ion with its first three energy levels completely filled. Argon is not an answer choice, which means that it must be one of the ions with an atomic number close to argon's atomic number. Recalling that a positive charge means electrons were lost from the outermost shell and that a negative charge means electrons were gained in the outermost shell, the only answer that works is .
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Which pair of formulas represents the empirical formula and molecular formula for a certain compound?
To find an empirical formula, take a molecular formula and divide the subscript of each element by the greatest common factor of all the subscripts. In this case, the only pair that works is , which can be verified by dividing the coefficients of the molecular formula by 6. Note that
is not correct because neither of the formulas is an empirical formula; they are both possible molecular formulas for a compound with the empirical formula
.
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Vanillin is composed of carbon,
oxygen, and
hydrogen.
What is the empirical formula of vanillin?
Refer to the following table for the atomic masses of the elements shown:
In order to calculate the empirical formula of vanillin from the given percent composition data, we can pretend we have a 100 g sample vanillin and from there estimate how many grams of each element make up the sample. For example, Vanillin is carbon; therefore, the estimated sample would contain 66.3 g of carbon. After doing this for each of the elements vanillin contains, we can use the atomic mass of carbon to find how many moles of carbon make up the sample. We then do the same for each element that composes vanillin. See calculations below:
After finding the number of moles of each element in the hypothetical 100 g sample, we look at the ratio between the moles of each element by dividing all the samples by smallest number of moles. After finding the ratios of the samples, we are able to use the empirical formula of the vanillin by rounding up to the nearest whole number for each sample. If the ratios are not close enough to round up (like in this example), we multiply the ratios all by the same number until each number is equal to a whole number nicely. See calculations below:
We need whole numbers, so multiply each of the resulting numbers by 3 to get rid of the fractions.
This gives us as the final answer.
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Suppose that 1.5 moles of potassium reacts completely with an excess of chlorine gas. What is the enthalpy change of the reaction?
First, note that heat is a product of the reaction. This means that the reaction releases heat and is exothermic, so the enthalpy change must be negative. Next, consider that 2 moles of sodium would react to produce 640 kJ. Thus, 1.5 moles of sodium would react to produce
.
Hence, the enthalpy change is .
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What is an expression for the equilibrium constant for the above equation?
The formula for the equilibrium constant is the product of the concentration of the products divided by the product of the concentration of the reactants. Since none of the reactants or products have coefficients, no exponents are needed in the expression. The phases do not affect the equilibrium constant in this example.
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Suppose that an ideal gas at and 2.0 atm has a volume of 11.2 cubic meters. Which of the following expressions represents the volume of the gas, in cubic meters, if the temperature were increased by
and the pressure decreased to 1.5 atm?
First of all, the unit degrees Celsius should be converted to Kelvins by adding 273. This means that the temperature increases from 273 K to 323 K.
Next, the combined gas law can be used.
Plugging in the known values gives
and solving for the volume gives
Rearranging shows this is clearly equivalent to the correct answer, .
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Which of the following does not exhibit hydrogen bonding as an intermolecular force?
Hydrogen bonding occurs between hydrogen and a very electronegative atom, which is usually fluorine, oxygen, or nitrogen. Thus, hydrogen bonding does not occur in .
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Which of the following cannot act as a Bronsted-Lowry base (proton recipient) in aqueous solution?
cannot receive another proton
because then it would become
, which does not exist. All of the other answer choices are fine:
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In a solution, a weak electrolyte exists predominately as which of the following?
An electrolyte is a substance that when dissolved in a solution breaks up into ions. More specifically, an electrolyte breaks up into cations (positively charged ions) and anions (negatively charged ions). While strong electrolytes break up 100% into anions and cations, weak electrolytes break apart significantly less. Less than 10% of a weak electrolyte ionizes at all in solution. That means the 90%–99% of the weak electrolyte's molecules do not ionize. This is because the intermolecular forces that form between the solution and the weak electrolyte's molecules are not stronger than the intramolecular forces holding the molecule together. While solutions containing weak electrolytes contain both ions formed from the weak electrolyte ions and molecules of the weak electrolyte, they contain mostly molecules of the weak electrolyte.
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How many of the following compounds are ionic?
Ionic compounds are chemical compounds made of charged ions held together by forces called ionic bonding. Ionic bonds are formed by transfers of valance electrons, which create charged atoms (ions) which are attracted to each other because they have opposite charges. This is not be confused with covalent bonding, in which atoms form an attraction by sharing electrons.
contains a positively charged
ion and negatively charged
ion which form an ionic bond.
contains two positively charged
ions and a negatively charged
ion which form an ionic bond.
,
, and
are all examples of molecules that contain covalent bonds. None of them contains any charged ions. The answer is therefore "two,"referring to the
and
molecules.
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Suppose that 8 grams of of hydrogen gas and 16 grams of oxygen gas are ignited. What is the theoretical yield, in grams, of water? Assume hydrogen has an atomic mass of 1 and oxygen has an atomic mass of 16.
First, convert from grams to moles using the molar masses of the compounds. There are 4 mol of hydrogen gas and 0.5 mol of oxygen gas. Oxygen gas is clearly the limiting reagent (since there is more than twice as much hydrogen gas as oxygen gas), which means that the theoretical yield of water is
Water contains two hydrogen atoms and an oxygen atom, so it has a molar mass of
Hence, 1 mol of water would have a mass of 18 g.
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