Q.

Three moles of an ideal gas are taken through a cyclic process ABCA as shown on T-V diagram in Fig. The gas loses 2510 J of heat in the complete cycle. If TA=100K and TB=200K. The work done by the gas during the process BC is….. (Take R = 8.3 JmolK-1)

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

a

5000J

b

-5000J

c

2490J

d

-2510J

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

In the process AB, the volume V increases linearly with temperature T. hence AB is isobaric (constant pressure). Therefore, work done in this process is WAB=P∆V=nR∆T     (∵PV=nRT)       =nR(TB-TA)      =3×8.3×(200-100)=2490 JProcess CA is isochoric (constant volume). Hence work done in this process WCA = 0. Since the whole process ABCA is cyclic, the change in internal energy in the complete cycle is zero, i.e., ∆U=0. Now, from the first law of the thermodynamics, (Given Q = -2510 J)Q=∆U+W=∆U+WAB+WBC+WCA     -2510=0+2490+WBC+0     WBC=-2510-2490=-5000 JThe negative sign shows that the work is done by the gas.
Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon