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Chapter 21: Q. 29 (page 595)

The ideal gas in a Carnot engine extracts 1000Jof heat energy during the isothermal expansion at 300掳C. How much heat energy is exhausted during the isothermal compression at50掳C?

Short Answer

Expert verified

Heat energy is exhausted during the isothermal compression is560J.

Step by step solution

01

Formula for reduction of heat

The first law holds,

Qh=W+Qc

where Qh is the heat given to the gas from hot source , Qc is the heat dumped to cold source and W is work output.

Efficiency,

畏=WQh

W=畏蚕h

This results is,

Qc=Qh-W=Qh(1-畏)

02

Calculation for reduction of heat

Efficiency is,

畏=1-TcTh

Substituting this, we find the expression for the lost heat to be,

Qc=Qh1-1-TcTh=TcThQh

The lost heat will be

Qc=50+273300+273路1000=564J

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