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For an ideal gas, consider onlyp-V work ...

For an ideal gas, consider onlyp-V work in going from an initial state X to the final state Z. The final state can be reached by either of the two paths shown in the below figure. Which of the following choices ar correct? [Take `Delta S` as change in entropy and was work done.]

A

`Delta S _( x to z) = Delta S _(x to y) + Delta S _( y to z)`

B

`W _( x to z ) = W _( x to y) + W _( y to z)`

C

`W _( x to y to z ) = W _( x to y)`

D

`Delta S _(x to y to z) = Delta S _( x to y)`

Text Solution

Verified by Experts

As entropy is a state function and is additive `Delta S _( x to z) = Delta S _( x to y) + Delta S _( y to x )`
On moving from Y to Z, the work done is zero as the volume is kept constant (isochoric process)
`W _( x to Y to Z) = W _( x to Y)`
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