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Q.

A cylinder of ideal gas is closed by an 8kg movable piston of area 60cm2. The atmospheric pressure is 100kPa. When the gas is heated from 30°C to 100°C the piston rises 20cm. The piston is then fastened in the place and the gas is cooled back to 30°C. If ΔQ1 is the heat added in the gas during heating and ΔQ2 is the heat lost during cooling. find the difference(in Joule)

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answer is 136.

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Detailed Solution

First process is isobaric.

 ΔQ1=nCvΔT+pΔV

Second process is isochoric

 ΔQ2=nCvΔT

ΔQ1-ΔQ2=pΔV=p0+mgA[Ax]

=p0A+mgx

=105×60×10-4+8×10(0.2)

=136J

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