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Q.

One mole of an ideal gas is enclosed in a cylinder fitted with a frictionless piston and occupies a volume of 1.5 litre at a pressure of 1.2 atm. It is subjected to a process given by equation T=αV2 (adiabatic constant for the gas = 1.5). Choose the wrong statement. Given =80Jmol1lit2(R = gas constant and α is constant)

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a

The P-V diagram of the process is a straight line.

b

The work done by the gas in increasing the volume of the gas to 9 litre is 3150J

c

The change in the internal energy of the gas is 12600 J.

d

The heat supplied to the gas in the process is 15750 J.

answer is D.

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Detailed Solution

detailed_solution_thumbnail

T=αV2 P=nRαV
dW=PdV=V2V2nRαVdV=3150 V1=1.5 litre, V2=9 litre 
dU=nCvdT=Rγ1αV22V12=12600J=ΔQ=ΔU+ΔW=15750J

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