Question
Okay, Part E, F and G have me stumped. I need help guys!
A particle gas consists of N monatomic particles each of mass m all contained in a volume V at temperature T. Your answers should be written in terms of the Boltzmann constant fcp and Avagadro's number NA rather than R = NA kB . Find (v2), the average speed squared for each particle. Express the average speed squared in terms of the gas temperature T and any other given quantities. Find U, the internal energy of the gas. Express the internal energy in terms of the gas temperature T and any other given quantities Find Cv, the molar heat capacity (heat capacity per mole) of the gas at constant volume. Express the molar heat capacity in terms of NA and kB. A particle gas consists of N monatomic particles each of mass m all contained in a volume V at temperature T. Your answers should be written in terms of the Boltzmann constant fcp and Avagadro's number NA rather than R = NA kB. What will be the ratio of the new molar mass M' to the old molar mass M? What will be the ratio of the new rms speed v'rms to the old rms speed vrms? What will be the ratio of the new molar heat capacity C'v to the old molar heat capacity CV?
Explanation / Answer
Part D: 0.667 U/V
