3.4 Ideal Gas Law Quiz

In the cartoon show, when Tom tries to inflate a balloon, which gas law is he unknowingly demonstrating that describes the relationship between the gas pressure inside the balloon and its volume?

• Charles's Law

• Dalton's Law

• Boyle's Law

• Avogadro's Law

Answer explanation

Boyle's Law describes the relationship between gas pressure and volume. According to Boyle's Law, at a constant temperature, the pressure of a gas is inversely proportional to its volume. This means that as the volume of a gas decreases, its pressure increases, and vice versa.

Tom, Jerry, and Spike are on a cartoonish space adventure, exploring the atmosphere of a mysterious planet! They discovered that according to Dalton's Law of Partial Pressures, the sum of all the partial pressures of each gas in their animated spacecraft's cabin is equal to the ________ pressure. Can you help these animated characters figure it out?

• individual

• combined

• partial

• total

Answer explanation

According to Dalton's Law of Partial Pressures, the sum of all the partial pressures of each gas in a mixture of gases is equal to the total pressure.

Evelyn, Noah, and Elijah are having a blast at their science fair with a 'Guess the Law' game. Can you help them by identifying the formula for the ideal gas law?

• P = nT/R

• P = nR/V

• P = V/T

• PV = nRT

Answer explanation

The ideal gas law is PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature. This equation describes the relationship between these variables in an ideal gas.

What is the mole fraction of oxygen (O2) in a mixture containing 0.40 mol of H2, 0.15 mol of O2, and 0.50 mol of N2?

• 0.50

• 0.15

• 0.40

• 0.25

Answer explanation

The mole fraction of oxygen (O2) in the mixture is 0.15, which corresponds to the correct answer choice.

During a chilly winter day, Aria, Lily, and Henry found a basketball left outside. They noticed that the basketball had a volume of 6.88 L and a pressure of 0.795 atm. Being curious, they wondered, how many moles of gas are in the basketball?

• 0.795 mol

• 6.88 mol

• 0.795 mol

• 6.88 mol

Answer explanation

The correct choice is 6.88 mol because the volume and pressure of the basketball can be used to calculate the number of moles of gas using the ideal gas law.

What is the partial pressure of oxygen gas (O2) collected over water if the atmospheric pressure is 762.0 mmHg and the water temperature is 23.0 °C? (Vapor pressure of water at 23.0 °C is 21.1 mmHg)

• 783.1 mmHg

• 740.9 mmHg

• 762.0 mmHg

• 740.9 mmHg

Answer explanation

The partial pressure of oxygen gas collected over water is equal to the atmospheric pressure minus the vapor pressure of water. Therefore, the partial pressure of oxygen gas is 762.0 mmHg - 21.1 mmHg = 740.9 mmHg. This is the correct choice.

What is the molar mass of a gas sample with a mass of 1.28 grams in a 0.500 L container at a temperature of 127 °C and a pressure of 2.00 atm?

• 128.0 g/mol

• 256.0 g/mol

• 64.0 g/mol

• 32.0 g/mol

Answer explanation

The molar mass can be calculated using the ideal gas law equation. The correct choice, 64.0 g/mol, is obtained by dividing the mass of the gas sample by the product of the gas constant, temperature, and volume.

How many liters of gaseous oxygen (O2) are needed to produce 6.50 L of gaseous nitrogen dioxide (NO2) at STP according to the reaction: 2NO (g) + O2 (g) → 2NO2 (g)?

• 13.00 L

• 26.00 L

• 6.50 L

• 3.25 L

Answer explanation

To produce 6.50 L of NO2, we need twice the volume of O2. Therefore, 6.50 L of NO2 requires 13.00 L of O2. Thus, the correct answer is 13.00 L.

In an episode of a cartoon, a character creates a balloon filled with NO2 gas. If the balloon is at 25.0 °C and the pressure inside is 2.56 atm, what would be the density of the NO2 gas in the balloon?

• 3.69 g/L

• 2.46 g/L

• 1.23 g/L

• 4.92 g/L

Answer explanation

The density of NO2 gas at 25.0 °C and 2.56 atm is 2.46 g/L. This is the correct choice as it matches the given conditions.

Imagine SpongeBob, Patrick, and Sandy are in Sandy's treedome experimenting with a curious bubble mixture. They decide to reduce the volume of the bubble mixture by 1/3 while doubling its Kelvin temperature. By what factor will the pressure of the bubble mixture change after their exciting experiment?

• 1/6

• 1/3

• 2/3

• 3/2

Answer explanation

When the volume is reduced by 1/3 and the Kelvin temperature is doubled, the pressure of the gas will increase by a factor of 3/2. This is because according to the combined gas law, pressure is directly proportional to temperature and inversely proportional to volume.