In the cyclic process shown in P-V diagram, the magnitude of the work done is
Answers
Explanation:
We'll show that this process does work. Because the process is cyclic, there is no change in internal energy after each cycle. Therefore the network done in each cycle equals the heat added to the system. We now analyze each of the steps in the cycle.
Step 1 - Isothermal expansion: The system does work W1 which equals the heat Q1 added to the system in the expansion because the internal energy does not change.
Step 2 - Isochoric process: The work done is W
2
=0.
Step 3 - Isothermal compression: The work W3 done by the system is negative, but of smaller magnitude than W1 because the area under the PV curve is less than that in step 1. The internal energy does not change, so the heat removed is Q3=W3.
Step 4 - Isochoric process: The reverse of step 2. W4=0, while heat Q4=−Q2 is added to the system.
For cyclic process, the work done is W
(
net)=
4
π
(P
2
−P
1
)(V
2
−V
1
)