The P-V diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an adiabatic process CD is (use γ=1.4 )

Question

The P-V diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an adiabatic process CD is (use &gamma;=1.4 ) <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/dcd160c2d4671436e1ddb2c9adf40686-.png" /> (A) -500 J (B) -400 J (C) 400 J (D) 200 J

Tardigrade Admin · Accepted Answer

Adiabatic process is from C to D WD =( P 2 V 2- P 1 V 1/1-&gamma;) =( P D V D - P C V C /1-&gamma;) =(200(3)-(100)(4)/1-1.4) =-500 J

Q. The P-V diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an adiabatic process $C D$ is (use $γ = 1.4$ )

-500 J

-400 J

400 J

200 J

Adiabatic process is from $C$ to $D$
$W D = \frac{P _{2} V _{2} - P _{1} V _{1}}{1 - γ}$
$= \frac{P _{D} V _{D} - P _{C} V _{C}}{1 - γ}$
$= \frac{200 ( 3 ) - ( 100 ) ( 4 )}{1 - 1.4}$
$= - 500 J$

Q. The P-V diagram of a diatomic ideal gas system going under cyclic process as shown in figure. The work done during an adiabatic process CD is (use γ=1.4 )