11.Thermodynamics
hard

Carnot cycle (reversible) of a gas represented by a Pressure-Volume curve is shown in the diagramConsider the following statements

$I.$ Area $ABCD =$ Work done on the gas

$II.$ Area $ABCD =$ Net heat absorbed

$III.$ Change in the internal energy in cycle $= 0$

Which of these are correct

A

$I$ only

B

$II$ only

C

$II$ and $III$

D

$I, II$ and $III$

Solution

The area under the $P-V$ curve gives the work done by the gas.

since initial and final conditions are the same, hence internal energy has not changed which is

a function of $T$ that is temperature. $\Delta U=0$

$Q=W+\Delta U=W$

Hence, the area also shows heat absorbed as it is equal to work done by hte gas.

Answer- $(I I, I I I)$

Standard 11
Physics

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