When an ideal gas is heated, the change in internal energy is limited to increasing the average translational kinetic energy of the gas molecules. Thus, there is a simple relationship between Delta U of the gas and the change in temperature that occurs. Derive this relationship with the help of ideas about the kinetic-molecular theory of gases developed in Chapter 6. After doing so, obtain numerical values (in mathrmJ mathrmmol⁻¹ mathrm K⁻¹) for the following molar heat capacities. (a) the heat capacity, C_V, for one mole of gas under constant-volume conditions
