Question

Pick the correct statements:

• A. The gas constant per molecule of the gas is Boltzmann's constant.
• B. Molecules of different gases have the same K.E. at the same temperature.
• C. The ideal gas equation holds true at high pressure and low temperature.
• D. The product of pressure and volume of a gas is independent of the temperature.

Answer 1

Answer: (A), (B)

Molecules of different gases have the same K.E. at the same temperature.

• The ideal gas equation does not hold true at high pressure and low temperature. It holds true for normal gases at very low pressure and high temperature.


• According to Boyle's law, the product of pressure and volume of the gas is constant for a constant temperature, i.e. as the temperature changes, the product also changes.


• Boltzmann's constant is the gas constant per one molecule of gas, i.e. ${\text{k}}_{\text{B}}=\frac{\text{R}}{\mu {\text{N}}_{\text{A}}}$


• The average kinetic energy of a gas depends on the temperature. All gases have the same K.E. have the same temperature.