When heat is added to a gas, its internal energy (u) and temperature (t) both increase. the rise in the internal energy per unit temperature is called the heat capacity. if 1 mole of gas is considered the heat capacity is called the molar heat capacity, cm exercises: 4. write an expression for the total internal energy of 1 mole of a monatomic gas in terms of the mean square velocity and in terms of temperature. use the results of exercise 4 and the definition of molar heat capacity to find the heat capacity 5. per mole at a constant volume. exercises: how many degrees of freedom are there for an atom in a lattice vibrating about is equilibrium position? what is the internal energy per mole? 7. what is the molar heat capacity for the model?