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P - V diagram of a cyclic process ABCA i...

`P - V` diagram of a cyclic process `ABCA` is as shown in Fig. Choose the correct alternative

(A)`Delta Q_(ArarrB)=` negative (B)`Delta U_(BrarrC)=` positive (C)`DeltaU_(CrarrA)=` negative (D)`DeltaW_(CAB)=` negative

A

`Delta Q_(A) rarr._(B)` is negative

B

`Delta U_(b) rarr._(c)` is negative

C

`Delta U_(c) rarr._(A)` is negative

D

`Delta W_(CAB)` is negative

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
During process `A` and `B`, pressure and volume both are decreasing. Therefore , temperature and hence internal energy of the gas will decrease `(T prop PV)` or `Delta V_(A) rarr _(B)=` negative. Further, `Delta W_(A) rarr _(B)` is negative.
In processs `B` to `C`, pressure of the gas is constant while volume is increasing . Hence, temperature should increase or `DeltaU_(B) rarr _(C) =` postive. During `C` to `A` volume is constant while pressure is increasing.
Therefore, temperature and hence internal energy of the gas should increase or `Delta U _(C) rarr _(A)=` positive. During process `CAB`, volume of the gas is decreasing. Hence, work done by the gas is negative.
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