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Q.

Carbon monoxide is carried around a closed cycle abc, in which bc is an isothermal process, as shown in the figure. The gas absorbs 7000 J of heat, as its temperature is increased from 300K to 1000K in going from a to b. The quantity of heat rejected by the gas during the process ca is

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a

4200 J

b

5000 J

c

9000 J

d

9800 J

answer is D.

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Detailed Solution

From a to b heat absorbed = ${nC}_{v} △ T$
$\frac{n 5 R}{2} (1000 - 300) = 7000$
$\Rightarrow \frac{n 5 R}{2} \times (700) = 7000$
$\Rightarrow nR = 4$
In the process c to a at constant pressure temperature decreases from 1000 to 300 K.
Heat rejected ${nC}_{p} △ T$
$= n \frac{7 R}{2} (700)$
$= \frac{nR}{2} \times 7 \times 700$
$= \frac{4}{2} \times 4900 = 9800 J$

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