In which type of process is no work done on a gas? a) isothermal b) isochoric c) isobaric d) none of the above

Isothermal process: A process in which the temperature of the gas remains constant. Isochoric or isovolumetric process: A process in which the volume of the gas remains constant. Isobaric process: A process in which the pressure of the gas remains constant.

The formula for work done on a gas (W) is given by: W = PΔV Where P is the pressure of the gas and ΔV is the change in volume.

a) Isothermal process: During an isothermal process, the temperature remains constant, but the volume and pressure may change. Since the work done on a gas depends on the change in volume (ΔV), work can still be done on a gas during an isothermal process. b) Isochoric process: During an isochoric or isovolumetric process, the volume of the gas remains constant (ΔV = 0), while the pressure and temperature may change. Since ΔV = 0, the work done on the gas (W) will be equal to zero (W = PΔV = P(0) = 0). Therefore, no work is done on a gas during an isochoric process. c) Isobaric process: During an isobaric process, the pressure remains constant, but the volume and temperature may change. Since the work done on a gas depends on the change in volume (ΔV), work can still be done on a gas during an isobaric process. d) None of the above: We can eliminate this option since we already established that no work is done on a gas during an isochoric process.

Since no work is done on a gas during an isochoric (isovolumetric) process, the correct answer is: b) Isochoric