1.

In the question number 61, the heat exchanged by the engine with thesurrounding for path D to A is (at constant pressure)

Answer»

`(5)/(2)P_(A)(V_(D)-V_(A))`
`(5)/(2)P_(A)(V_(A)-V_(D))`
`(3)/(2)P_(A)(V_(D)-V_(A))`
`(1)/(2)P_(A)(V_(D)-V_(A))`

SOLUTION :Since DA involves compression of gas from `V_(D)` to`V_(A)` at CONSTANT pressure `P_(a)` .The WORK will be done on gas
`Q_(DA)=U_(DA)+W_(DA)`
`=(3)/(2)(P_(A)V_(A)-P_(D)V_(D))+P_(A)(V_(A)-V_(D))`
`=(3)/(2)P_(A)(V_(A)-V_(D))+P_(A)(V_(A)-V_(D))`
`=(-5)/(2)P_(A)(V_(D)-V_(A))=(5)/(2)P_(A)(V_(A)-V_(D))`


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