1)

n moles of an ideal gas undergoes a process A and B shown in the figure. The maximum temperature of the gas during the process will be

532020193_process 1.JPG


A) 94p0V0nR

B) 32p0V0nR

C) 92p0V0nR

D) 9p0V0nR

Answer:

Option A

Explanation:

p-V equation for path AB

p=(p0V0)V+3p0

pV=3p0Vp0V0V2

OR   T=pVnR=1nR(3p0Vp0V0V2)

For maximum temperature

     dTdV=0

  3p02p0VV0=0V=32V0

and         p=3p0p0V0=3p02

   Therefore, at these values,

Tmax=(3p02)(3V02)nR=9p0V04nR