First slide

Heat given

Question

Three moles on an ideal mono-atomic gas perform a cycle shown in figure. The gas temperature at different states are $T_{1} = 400 k, T_{2} = 2400 k a n d T_{4} = 1200 k .$ Heat supplied to the gas is

Moderate

A

45000 R
B

60000 R
C

55000 R
D

80000 R

Solution

As 1-2 and 3-4 processes are isochoric, $V_{1} = V_{2} a n d V_{3} = V_{4}$
$\begin{array}{l} \frac{T_{3}}{T_{2}} = \frac{V_{3}}{V_{2}} = \frac{V_{4}}{V_{1}} = \frac{T_{4}}{T_{1}} \\ \Rightarrow T_{3} = \frac{T_{2} . T_{4}}{T_{1}} = \frac{2400 \times 1200}{400} k = 7200 k \\ ∴ Q_{1} = H e a t \sup p l i e d = 3. \frac{3 R}{2} . (2400 - 400) + 3. \frac{5 R}{2} . (7200 - 2400) \\ Q_{1} = 9000 R + 360, 00 R = 45000 R \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App