Question

Initial volume of 1 mole of a monoatomic gas is 2 litres. It is expanded isothermally to a volume of 6 litres. Change in internal energy is xR. Find x.

Answer 1

Correct Answer: 0

Change in Internal Energy (\(\Delta U\)):

The change in internal energy for a thermodynamic process is given by:

\[ \Delta U = nC_V\Delta T \]

For an isothermal process, the temperature remains constant:

\[ \Delta T = 0 \]

Substituting \(\Delta T = 0\) into the equation:

\[ \Delta U = nC_V(0) \]

\[ \Delta U = 0 \]

Conclusion:

Since the process is isothermal, there is no change in the internal energy of the system.

Final Answer:

\(\Delta U = 0\)