Figure shows a polytropic process for an ideal gas. The work done by the gas will be in process AB is

Question

Figure shows a polytropic process for an ideal gas. The work done by the gas will be in process AB is <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-835xbsfbosqwu6yn.jpg" /> (A) (15/2)P0V0 (B) (14/3)P0V0 (C) 8P0V0 (D) Insufficient information

Tardigrade Admin · Accepted Answer

w=(1/2)× 6× 10-4× 5+4× 5-5× 2 =30-20+20-10=20J w=kf-ki 20=kf-25 kf=45J w=(P2 V2 - P1 V1/1 - x)=(2 P0 V0 - 16 P0 V0/1 - 4) =(14/3)P0V0

Q. Figure shows a polytropic process for an ideal gas. The work done by the gas will be in process $A B$ is

$\frac{15}{2} P_{0} V_{0}$

$\frac{14}{3} P_{0} V_{0}$

$8 P_{0} V_{0}$

Insufficient information

$w = \frac{1}{2} \times 6 \times 10 - 4 \times 5 + 4 \times 5 - 5 \times 2$
$= 30 - 20 + 20 - 10 = 20 J$
$w = k_{f} - k_{i}$
$20 = k_{f} - 25$
$k_{f} = 45 J$
$w = \frac{P _{2} V _{2} - P _{1} V _{1}}{1 - x} = \frac{2 P _{0} V _{0} - 16 P _{0} V _{0}}{1 - 4}$
$= \frac{14}{3} P_{0} V_{0}$

Q. Figure shows a polytropic process for an ideal gas. The work done by the gas will be in process AB is

215​P0​V0​

314​P0​V0​

8P0​V0​