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Q.

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
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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: