Two litres of an ideal gas at a pressure of 10 atm expands Isothermally into vacuum until its total volume is 10 litres. How muach heat is absorbed and howmuch work is done in the expansion ? What would be the heat absorbed andwork done
(i) if the same expansion takes place against a constant external pressure of 1 atm ?
(ii) if the same expansion takes place to a final volume of 10 litres conducted reversibly?

Explanation

To solve the problem step by step, we will analyze each part of the question regarding the isothermal expansion of an ideal gas.

### Step 1: Understand the Scenario
We have 2 liters of an ideal gas at a pressure of 10 atm that expands isothermally into a vacuum until its total volume is 10 liters.

### Step 2: Determine Work Done in Expansion into Vacuum
In an isothermal expansion into a vacuum, the work done (W) is zero because there is no opposing pressure (P_ext = 0).

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