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Two moles of an ideal gas at temperature \mathrm{T}_0=300 \mathrm{~K} were cooled isochorically so that the gas pressure reduced \mathrm{\eta=2.0}times. Then, by an isobaric process, the gas is allowed to expand until its temperature returns to its initial value. The total amount of heat absorbed by the gas in this process is:
 

Option: 1

650 \mathrm{R}
 


Option: 2

700 \mathrm{R}
 


Option: 3

725 \mathrm{R}
 


Option: 4

750 \mathrm{R}


Answers (1)

best_answer

Temperature at the end of isochoric process \mathrm{=\frac{300}{2}=150 \mathrm{~K}}

Heat is absorbed by the gas only during isochoric process and the heat

\mathrm{=\mathrm{nC}_{\mathrm{p}} \Delta \mathrm{T}=2\left(\frac{5 \mathrm{R}}{2}\right)(150)=750 \mathrm{R}}

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Sayak

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