Internal energy of an ideal gas
= Internal energy of an ideal gas
For a fixed amount of ideal gas, internal energy depends only on temperature. If $C_V$ is constant, $dE=C_V\,dT$ and hence $E=C_VT$ after a choice of energy zero.
= Internal energy of an ideal gas
For a fixed amount of ideal gas, internal energy depends only on temperature. If $C_V$ is constant, $dE=C_V\,dT$ and hence $E=C_VT$ after a choice of energy zero.