1.

A gas take part in two thermal processes in which it is heated from the same initial state to the same final temperature. The processes are shown on the `P-V` diagram by straight lines `1 rarr 3 ` and `1 rarr 2` A. `Q_(13) lt Q_(12)`B. `Q_(13) gt Q_(12)`C. `Q_(13) = Q_(12)`D. None of above

Answer» Correct Answer - B
Since the temperature remains constant,
`Delta T=0`
Now
`W_(12)=(1)/(2) (P_(1)+P_(2))(V_(2)-V_(1))`
`W_(13)=(1)/(2) ( P_(1)+P_(3))(V_(3)-V_(1))`
`W_(12)-W_(13)=(1)/(2)[P_(1)(V_(2)-V_(3))+(P_(3)-P_(1))]lt0`
`W_(13)gtW_(12), Q_(13)gtQ_(12)`


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