Engineering
Physics
Degree of Freedom Internal Energy of Gas and Specific Heat Capacity of Gases
Thermodynamics
Cyclic Processes
Question

The PV diagram shows four different possible reversible processes performed on a monoatomic ideal gas. Process A is isobaric (constant pressure). Process B is isothermal (constant temperature). Process C is adiabatic. Process D is isochoric (constant volume). For which process(es) does the temperature of the gas decrease?

Process A only 

Process C only 

Only Processes C and D

Only Processes B, C and D

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Solution
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For an ideal gas, temperature change depends on work done and heat exchange. Process A (isobaric expansion): volume increases, so temperature increases. Process B (isothermal): temperature constant. Process C (adiabatic expansion): no heat exchange, work done by gas decreases internal energy, so temperature decreases. Process D (isochoric): volume constant, pressure decreases, so temperature decreases (from ideal gas law PV = nRT). Thus, temperature decreases only in processes C and D.

Final answer: Only Processes C and D