An ideal gas undergoes a thermodynamic process in which the work done by the gas is zero and a positive amount of heat is supplied to it. Which of the following statements are correct? A. The pressure of the gas increases linearly with its absolute temperature. B. The process is an isochoric process. C. The change in internal energy of the gas is exactly equal to the heat supplied. D. The volume of the gas increases

Step-by-step solution

Since the work done by the gas is zero ( W = 0 ), the volume of the gas remains constant. Thus, the process is isochoric (Statement B is correct and D is incorrect). According to the first law of thermodynamics, Q = U + W . Since W = 0 , we have Q = U . Thus, the change in internal energy is equal to the heat supplied (Statement C is correct). Since a positive amount of heat is supplied ( Q > 0 ), the internal energy increases ( U > 0 ), which means the temperature of the gas increases (Statement E is incorrect). F