One mole of an ideal diatomic gas undergoes a transition from A to B along a path AB as shown in the figure. The change in an internal energy of the gas during the transition is?
Step 1: Internal energy
The formula to find the internal energy is
Where is no. of moles, is heat capacity at constant volume, and is temperature change ()
For diatomic gas,
From the ideal gas equation,and
Substituting these in equation we get,
Step 2: Substituting the values
From the graph,
Therefore, by substituting these values in the equation we get,
Therefore, the change in the internal energy of the gas during the transition is .