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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