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Q.

The heat supplied to one mole of an ideal mono atomic gas in increasing temperature from  T0 to 2T0 is 2RT0. Find the equation of process to which the gas follows.

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a

P2V−1=constant

b

PV−1=constant

c

P−1V=constant

d

PV−2=constant

answer is B.

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Detailed Solution

Heat supplied to the  gas Q=nCΔT  for poly tropic process molar heat capacity is given byC=R(γ−1)+R(1−N)=R53−1+R(1−N)=32R+R(1−N)Q=n3R2+R(1−N)2T0−T0=(1)RT05−3N2(1−N)=2RT0                            given 5−3N=4(1−N)N = -1Hence equation of process,  PV−1=constant
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The heat supplied to one mole of an ideal mono atomic gas in increasing temperature from  T0 to 2T0 is 2RT0. Find the equation of process to which the gas follows.