Calculate the amount of work done in each of the following cases `:-`
(i) One mole of an ideal gas contained in a bulbof 10 litre capacity at 1 bar is allowed to enter into an evacuated bulb of 100 litre capacity.
(ii) One mole of a gas is allowed to expand from a volumeof 1 litre to a volume of 5 litres against the constant external pressure of 1 bar ( 1 litre bar = 100 J)
Calculate the internal energy change `(Delta U ) ` in each case if the process were carrid out adiabatically.

Explanation

To solve the problem step by step, we will calculate the work done in both cases and then determine the change in internal energy (ΔU) for each case assuming the processes are adiabatic.

### Case (i): One mole of an ideal gas in a bulb of 10 liters allowed to enter an evacuated bulb of 100 liters.

**Step 1: Understand the conditions of the process.**
- The gas is expanding into an evacuated bulb, meaning there is no external pressure opposing the expansion.

**Step 2: Calculate the work done (W).**
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