Question 553: Thermodynamics & KTG

Question

In the reported figure, heat energy absorbed by a system in going through a cyclic process is ___________ $\pi$J.
![](https://app-content.cdn.examgoal.net/fly/@width/image/1kwlvmo1t/dd1ae7ad-f3cc-448d-bd33-ba5c9f2f5b73/e7768b10-51bc-11ec-9e89-f95be170c8e5/file-1kwlvmo1u.png)

Accepted Answer

Consider the given diagram,
Here, r
1
= 10 $	imes$ 10
3
m and r
2
= 10 $	imes$ 10
-3
m
We know that for a complete cyclic process, change in internal energy, ($\Delta$U) = 0 .... (i)
According to 1st law of thermodynamics,
$\Delta$Q = $\Delta$U + W ..... (ii)
From Eqs. (i) and (ii), we get
$\Rightarrow$ $\Delta$Q = 0 + W
$\Rightarrow$ $\Delta$Q = W .... (iii)
$\because$ W = Area = $\pi$r
1
r
2
= $\pi$ $	imes$ (10 $	imes$ 10
3
) $	imes$ (10 $	imes$ 10
$-$3
)
W = 100 $\pi$ J .... (iv)
From Eqs. (iii) and (iv), we get
$\Delta$Q = 100 $\pi$ J
![](https://app-content.cdn.examgoal.net/fly/@width/image/1kypo2x34/fe2299d6-7404-4a25-9b2f-9eea1d921c32/f3b64000-7b6a-11ec-a48e-214c9e0044f4/file-1kypo2x35.png?format=png)

Thermodynamics & KTG

In the reported figure, heat energy absorbed by a system in going through a cyclic process is ___________ \piJ.

Integer / Numeric Answer Type