Heat supplied dQ = increased in internal energy dU is true for

Step-by-step solution

The First Law of Thermodynamics states dQ = dU + dW , where dW = P ,dV for a simple compressible system. When the heat supplied equals the increase in internal energy, dQ = dU , substitution yields dU = dU + dW , which implies dW = 0 . Since dW = P ,dV , and pressure P 0 , this requires dV = 0 . A process with constant volume is isochoric. For such processes, dW = 0 and consequently dQ = dU . A constant temperature (isothermal) process has dU = 0 for an ideal gas, giving dQ = dW . An adiabatic process has dQ = 0 ,