When 2 litre of ideal gas expands isothermally into vacuum to a total volume of 6 litre, the change in internal energy is J. (Nearest integer)

Question

When 2 litre of ideal gas expands isothermally into vacuum to a total volume of 6 litre, the change in internal energy is  J. (Nearest integer)

Canvas Classes · Accepted Answer

Strategy:
 For an ideal gas expanding isothermally into a vacuum, consider the work done and the dependency of internal energy on temperature.

Step 1: Analyze work and heat
- Vacuum expansion: External pressure , so work .
- Isothermal: Temperature remains constant ( is constant).

Step 2: Determine 
For an ideal gas, Internal Energy () depends only on temperature (). If temperature does not change, the internal energy change must be zero.
.

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