A monoatomic classical ideal gas of N atoms is initially a temperature T_0 in a volume V_0. The gas is allowed to expand slowly to a final volume 〖7 V〗_0 in one of three different ways: (a) at constant temperature (b) at constant pressure, and (c) adiabatically. For each of these contexts, calculate the work done by the gas, the amount of energy transferred to the gas by heating, and the final temperature. Express all answer in terms of N, T_0, V_0, and k