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Q.

An ideal gas takes part in two thermodynamic processes ab and ac in which it is heated from the same initial state. The points b and c happen to be on an isotherm. In which process more heat is absorbed?

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a

in the process ab

b

in the process ac

c

in both the processes heat absorbed is same

d

we cannot decide with the data available from the diagram

answer is B.

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Detailed Solution

ΔQ = ΔW + ΔU. For both the processes ΔU is same as the points b, c are on isothermΔW in the process ab = (1/2)×(P+4P)×(2V-V) = 2.5PV.ΔW in the process ac = (1/2)×(P+2P)×(4V-V) = 4.5PV
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