Expansion of a gas in vaccum is called free expansion.Calculate the work done and the change in internal energy when 1 litre of ideal gas expands isothermally into vaccum until its total volume is 5 litre?

Explanation

To solve the problem of the free expansion of an ideal gas into a vacuum, we will follow these steps:

### Step 1: Understand the Process
In a free expansion, a gas expands into a vacuum. Since there is no opposing pressure (the external pressure is zero), the gas does not do any work on the surroundings.

### Step 2: Calculate Work Done
The work done (W) during an expansion can be calculated using the formula:
\[
...