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Chapter 18: Problem 6

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

Short Answer

Expert verified
Answer: b) Isochoric

Step by step solution

01

Define the types of processes

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.
02

Recall the formula for work done on a gas

The formula for work done on a gas (W) is given by: W = P螖V Where P is the pressure of the gas and 螖V is the change in volume.
03

Analyze each option for work done

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 (螖V), 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 (螖V = 0), while the pressure and temperature may change. Since 螖V = 0, the work done on the gas (W) will be equal to zero (W = P螖V = 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 (螖V), 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.
04

Choose the correct answer

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

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