Consider the cyclic process A B C A, shown in the figure, performed on a sample of 2.0 mole of an ideal gas. A total of 1200 J of heat is withdrawn from the sample in the process. Find the magnitude of the work done (in joules) by the gas during the part B C .(R=8.3 JK -1)

Question

Consider the cyclic process A B C A, shown in the figure, performed on a sample of 2.0 mole of an ideal gas. A total of 1200 J of heat is withdrawn from the sample in the process. Find the magnitude of the work done (in joules) by the gas during the part B C .(R=8.3 JK -1) (A) 2580 J (B) 3625 J (C) 4520 J (D) 1550 J

Tardigrade Admin · Accepted Answer

WA B=n R Δ T=400 R WC A=0 for the cyclic process A B C A WA B+WB C+WC A=Δ Q=-1200 J ⇒ WB C=-1200-400 R =-1200-3320=-4520 J

Q. Consider the cyclic process $A BC A$ , shown in the figure, performed on a sample of $2.0$ mole of an ideal gas. A total of $1200 J$ of heat is withdrawn from the sample in the process. Find the magnitude of the work done (in joules) by the gas during the part $BC . (R = 8.3 J K^{- 1})$

2580 J

3625 J

4520 J

1550 J

$W_{A B} = n R Δ T = 400 R$
$W_{C A} = 0$
for the cyclic process $A BC A$
$W_{A B} + W_{BC} + W_{C A} = Δ Q = - 1200 J$
$\Rightarrow W_{BC} = - 1200 - 400 R$
$= - 1200 - 3320 = - 4520 J$

Q. Consider the cyclic process ABCA, shown in the figure, performed on a sample of 2.0 mole of an ideal gas. A total of 1200J of heat is withdrawn from the sample in the process. Find the magnitude of the work done (in joules) by the gas during the part BC.(R=8.3JK−1)