Q: What is the value of Avogadro's constant, $N_A$, in scientific notation?

$N_A = 6.02214076 \times 10^{23}$

Q: Which of the following is the correct SI unit for pressure?

Pascal ($1 \text{ Pa} = 1 \text{ N} / \text{m}^2$)

Q: What is the value of the universal gas constant $R$ in SI units?

$R = 8.3145 \text{ J} / \text{mol} \cdot \text{K}$

Q: Which of the following is the correct formula for calculating the mole fraction $x_i$ of species $i$?

$x_i = \frac{n_i}{n_{\text{tot}}}$

Q: Convert 1.0 atm to pascals (Pa).

$1.0 \text{ atm} = 101325 \text{ Pa}$

Question 1

Which of the following best describes Avogadro's number?

Accepted Answer

The number of molecules in 1 mole of a substance.

Question 2

What is the value of Avogadro's constant, $N_A$, in scientific notation?

Accepted Answer

$N_A = 6.02214076 	imes 10^{23}$

Question 3

A solution contains 12.0% HCl by mass and the rest is water. If you have 100 g of solution, what is the mass of HCl present?

Accepted Answer

12.0 g

Question 4

Which equation correctly relates pressure, volume, and temperature for an ideal gas?

Accepted Answer

$PV = nRT$

Question 5

Boyle's Law states that for a fixed amount of gas at constant temperature:

Accepted Answer

Pressure and volume are inversely proportional.

Question 6

Which of the following is the correct SI unit for pressure?

Accepted Answer

Pascal ($1 	ext{ Pa} = 1 	ext{ N} / 	ext{m}^2$)

Question 7

If the density of a gas mixture at 25°C and 101.3 kPa is $1.185 	ext{ g/L}$, and the molar mass of the mixture is $28.0134 	ext{ g/mol}$, how many moles are present in 1 L?

Accepted Answer

$0.0423$ mol$

Question 8

Which of the following statements about mole fraction is TRUE?

Accepted Answer

Mole fraction is an intensive property.

Question 9

What is the value of the universal gas constant $R$ in SI units?

Accepted Answer

$R = 8.3145 	ext{ J} / 	ext{mol} \cdot 	ext{K}$

Question 10

A gas occupies 2.0 L at 1.0 atm. If the pressure is increased to 2.0 atm at constant temperature, what is the new volume?

Accepted Answer

1.0 L

Question 11

Which of the following is the correct formula for calculating the mole fraction $x_i$ of species $i$?

Accepted Answer

$x_i = \frac{n_i}{n_{	ext{tot}}}$

Question 12

Which of the following is NOT a correct statement about the ideal gas law?

Accepted Answer

It applies to gases at very high pressures.

Question 13

Convert 1.0 atm to pascals (Pa).

Accepted Answer

$1.0 	ext{ atm} = 101325 	ext{ Pa}$

Question 14

Which of the following is the correct relationship for pressure in terms of force and area?

Accepted Answer

$P = \frac{F}{A}$

Question 15

If the molar mass of H$_2$O is $18.015 	ext{ g/mol}$, what is its molecular mass in amu?

Accepted Answer

$18.015$ amu

Question 16

Which of the following is TRUE about Dalton's Law of Partial Pressures?

Accepted Answer

The total pressure is the sum of the partial pressures of each gas.

Question 17

A mixture contains 0.5 mol N$_2$ and 0.5 mol O$_2$. What is the mole fraction of O$_2$?

Accepted Answer

$x_{O_2} = 0.5$

Question 18

Which of the following is the correct conversion factor between atm and torr?

Accepted Answer

$1 	ext{ atm} = 760 	ext{ torr}$

Question 19

Which of the following is the correct formula for the density of an ideal gas?

Accepted Answer

$\rho = \frac{PM}{RT}$

Question 20

Charles's Law states that for a fixed amount of gas at constant pressure:

Accepted Answer

Volume is directly proportional to temperature.

Fundamental Concepts in Physical Chemistry and Introductory Statistics

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