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Question: Two moles of a certain ideal gas at a temperature 300 K were cooled isochorically so that the gas pr...

Two moles of a certain ideal gas at a temperature 300 K were cooled isochorically so that the gas pressure is reduced h (= 2) times. The gas is expanded isobarically afterwards till its temperature got back to original value. The total amount of heat absorbed by gas in this process is –

A

(a) 2000 J

B

2500 J

C

3000 J

D

4000 J

Explanation

Solution

(a)

PV = 13\frac{1}{3} M0 vrms2v_{rms}^{2}

vrms = 3PVM0\sqrt{\frac{3PV}{M_{0}}}