A thermodynamic system is compressed adiabatically, then its temperature

Step-by-step solution

In an adiabatic process, there is no heat exchange with the surroundings, so dQ = 0 . According to the first law of thermodynamics, dQ = dU + dW . Substituting dQ = 0 , we get dU = -dW . During compression, work is done on the system, which means the work done by the system dW is negative ( dW Therefore, dU = -(- positive value ) > 0 . Since the internal energy U increases and internal energy is directly proportional to temperature ( dU = nC_v dT ), the temperature of the system increases.