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WorksheetsReview_Ideal Gases
Total questions: 15
Worksheet time: 34mins
A Balloon's Volume Change
A student inflates a party balloon with helium gas. The student measures the following parameters:
Initial temperature (T1) 27∘C, Initial pressure (P1) 1.01×105 Pa, Initial volume (V1) 2.5 L and Final temperature (T2) 57∘C.
The balloon is then left in the sun, causing its temperature to rise.
Assuming the balloon's pressure remains constant, what is the final volume of the balloon?
2.29 L
2.50 L
2.75 L
3.00 L
3.25 L
A Diver's Bubbles
A scuba diver releases a bubble of air with a volume of 25 mL at a depth where the absolute pressure is 2.5 atm and the temperature is 10∘C. The bubble rises to the surface, where the absolute pressure is 1.0 atm and the temperature is 27∘C.
What is the volume of the bubble just before it breaks the surface?
45.1 mL
52.9 mL
66.3 mL
72.3 mL
80.2 mL
A Sample of Water
A chemistry student needs to determine the number of water molecules in a sample. The student measures the mass of the water sample to be 54 grams. The molar mass (Mr) of water (H2O) is 18 g/mol. (Note: Avogadro's number (NA) is 6.02×1023 molecules/mol).
How many molecules are in the 54-gram sample of water?
3.01×1023 molecules
1.08×1024 molecules
1.81×1024 molecules
3.25×1024 molecules
1.81×1025 molecules
A Car Tire
A car tire is inflated with air to a pressure of 2.2×105 Pa at a temperature of 27∘C. The volume of the tire is 0.035 m3. The universal gas constant (R) is 8.314 J/(mol⋅K) and the Boltzmann constant (k) is 1.38×10−23 J/K.
What is the number of molecules (N) of air in the tire?
1.9×1024
1.9×1025
2.20×1024
2.20×1025
2.75×1024
Gas in a Cylinder
A cylinder with a movable piston contains 0.5 moles of an ideal gas. The initial state of the gas is described below. (Note: Avogadro's number is 6.02×1023 molecules/mol).
Temperature 27∘C, Volume 0.01 m3 and Pressure 1.247×105 Pa
Based on the principles of the ideal gas law, which of the following statements are TRUE? (Select all that apply)
The total number of gas molecules in the cylinder is approximately 3.01×1023
If the volume is compressed to 0.005 m3 at a constant temperature, the pressure will double
If the temperature is increased to 327∘C while the volume is kept constant, the pressure will also double
Doubling the number of moles of gas in the cylinder at constant temperature and volume will halve the pressure.
The initial temperature of the gas in Kelvin is 27 K
Comparing Samples of Carbon Dioxide and Methane
A scientist is comparing two different gas samples: one of carbon dioxide (CO2) and one of methane (CH4). The molar mass (Mr) of CO2 is 44 g/mol and the molar mass of CH4 is 16 g/mol.
Mass of Carbon Dioxide is 88 g and mass of Methane is 32 g.
Based on the data provided, which of the following statements are TRUE? (Select all that apply)
The number of moles of CO2 is equal to the number of moles of CH4
The number of molecules in the CO2 sample is twice the number of molecules in the CH4 sample
The mass ratio of the samples is 2:1
The mole ratio of the samples is 2:2
The number of moles in the methane sample is approximately 2×6.02×1023
A Sealed Container
A sealed container with a volume of 0.02 m3 contains an ideal gas at a pressure of 2.0×105 Pa and a temperature of 300 K. (Note: The universal gas constant R=8.314 J/(mol⋅K)).
Which of the following statements are TRUE about the gas in the container? (Select all that apply)
The number of moles of gas is approximately 1.6 moles
The total number of molecules in the container is approximately 9.63×1023 molecules
If the temperature is reduced to 150 K, the pressure will decrease to 1.0×105 Pa
If the volume is expanded to 0.04 m3 at constant temperature, the pressure will increase
The pressure is directly proportional to the number of molecules and the temperature in Kelvin
A Helium Balloon
A balloon contains helium gas at a temperature of 27∘C. The mass of a single helium atom is approximately 6.64×10−27 kg. (Note: The Boltzmann constant k=1.38×10−23 J/K).
What is the average kinetic energy of a single helium atom in the balloon?
4.14×10−21 J
6.21×10−21 J
2.07×10−21 J
1.38×10−21 J
8.28×10−21 J
A Sample of Nitrogen Gas
A sample of nitrogen gas (N2) is at a temperature of 127∘C. The mass of a single nitrogen molecule is approximately 4.65×10−26 kg. (Note: The Boltzmann constant k=1.38×10−23 J/K).
What is the root-mean-square (RMS) speed of the nitrogen molecules?
422 m/s
597 m/s
635 m/s
712 m/s
854 m/s
Comparing Two Gas Samples
Two containers, A and B, hold samples of ideal gases at the same temperature. Container A holds Argon (Ar) gas with a molar mass of 40 g/mol, and Container B holds Neon (Ne) gas with a molar mass of 20 g/mol.
Which of the following statements are TRUE? (Select all that apply)
The average kinetic energy of a molecule in Container A is twice the average kinetic energy of a molecule in Container B
The root-mean-square (RMS) speed of the molecules in Container B is greater than the RMS speed of the molecules in Container A
The average kinetic energy of the gas molecules in both containers is the same
If the temperature of Container B is doubled, the RMS speed of the neon molecules will also double
The RMS speed of the gas molecules is inversely proportional to the square root of their molar mass
The temperature of a gas is raised while its volume remains constant, the pressure exerted by a gas on the walls of the container increases because its molecules
lose more kinetic energy to the wall.
are in contact with the wall for a shorter time.
strike the wall more often with higher velocities.
collide with each other less frequency.
Following gases are kept at the same temperature. Which gas possesses maximum r.m.s. speed?
Oxygen
Nitrogen
Hydrogen
Carbon dioxide
A gas is taken in a sealed container at 300 K. it is heated at constant volume to a temperature 600 K. the mean K.E. of its molecules is
Halved
Doubled
Tripled
Quadrupled
Which is not true about the Kinetic Molecular Theory of Gases?
Gas molecules have forces of attraction for each other
Gas molecules have a negligible volume compared to the volume they occupy
Gas molecules move in a random, straight-line motion
Root mean squared (r.m.s) speed of a gas molecules is directly proportional to _____________ and inversely proportional to ______________.
molar mass ; temperature
temperature ; molar mass
temperature ; pressure
pressure ; temperature
