Exam 14: The Ideal Gas Law and Kinetic Theory

An air bubble 20 m below the surface of a lake has a volume of 0.02 m³.The bubble then rises to the surface.Assuming the temperature of the lake is uniform,what is the volume of the bubble just before it breaks through the surface?

Helium gas at 20 °C is confined within a rigid vessel.The gas is then heated until its pressure is doubled.What is the final temperature of the gas?

Two pure samples of atoms,labeled A and B,contain titanium (Ti)atoms and carbon (C)atoms,respectively.Each sample contains the same number of atoms.What is the ratio of the mass of sample B to that of sample A,mB/mA? Note the following atomic masses: C = 12 u;Ti = 48 u.

Which one of the following factors is directly responsible for the pressure exerted by a confined gas?

Which one of the following statements concerning the mole is false?

Consider two ideal gases,A and B,at the same temperature.The rms speed of the molecules of gas A is twice that of gas B.How does the molecular mass of A compare to that of B?

Heat is supplied to a sample of a monatomic ideal gas at 40 °C.It is observed that the gas expands until its volume and pressure are doubled.What is the final temperature of the gas?

A gas molecule with a molecular mass of 32.0 u has a speed of 325 m/s.What is the temperature of the gas molecule?

An ideal gas at 0 °C is contained within a rigid vessel.The temperature of the gas is increased by 1 C°.What is P_f/P_ᵢ,the ratio of the final to initial pressure?

An ideal gas with a fixed number of molecules is maintained at a constant pressure.At 30.0 °C,the volume of the gas is 1.25 m³.What is the volume of the gas when the temperature is increased to 150.0 °C?

Under which of the following conditions would you expect real gases to approach ideal behavior?

A flask contains 1.00 mole of oxygen gas,O₂,at 0.00 °C and 1.013 × 10⁵ Pa.What is the rms speed of the molecules? Note: the atomic mass of O is 16 u.

Which one of the following statements concerning a collection of gas molecules at a certain temperature is true?

Calculate the rms speed of the carbon dioxide molecules in the air if the temperature is 15.0 °C.Note: The mass of the carbon dioxide molecule is 44.01 u.

How many air molecules are in a room at temperature 23.8 °C and standard pressure if the dimensions of the room are 3.44 m × 3.26 m × 2.28 m?

Which one of the following properties of a gas is not consistent with kinetic theory?

A concentration difference of a certain solute of 1.0 × 10^-² kg/m³ is maintained between the ends of a tube with a length of 3.5 m and a cross-sectional area of 0.25 m².When 0.0040 g of the solute is introduced to the tube,it takes 350 minutes for this solute to diffuse through the solvent to the opposite end of the tube.What is the diffusion constant for the solute?

A sample of neon gas at 20 °C is confined to a cylinder with a movable piston.The gas is then heated until its pressure is doubled.What is the final temperature of the gas?

A silver coin has a mass of 17.75 g.If the atomic mass of silver is 107.868 u,how many silver atoms are in the coin?

An automobile tire is inflated to a gauge pressure of 32 lb/in² at a temperature of -10.0 °C.Under strenuous driving,the tire heats up to 40.0 °C.What is the new gauge pressure if the volume of the tire remains essentially the same? (atmospheric pressure = 14.7 lb/in²)