On an isothermal process, there are two points A and B at which pressures and volumes are (2P0, V0) and (P0, 2V0) respectively. If A and B are connected by a straight line. find the pressure at a point on this straight line at which temperature is maximum:
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a
4P03
b
54P0
c
32P0
d
75P0
answer is C.
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Detailed Solution
P=−P0V0V+3P0PV=−P0V0V2+3P0V ………(i)T=1nR−P0V0V2+3P0V ………(ii)For Tmax,dTdV=0+3P0−2P0VV0=0 or V=32V0 ………(iii)From Eq. (i), P=+32P0
On an isothermal process, there are two points A and B at which pressures and volumes are (2P0, V0) and (P0, 2V0) respectively. If A and B are connected by a straight line. find the pressure at a point on this straight line at which temperature is maximum: