`0.5` litre of an ideal gas at a pressure of 20 atm expands to a final volume of `0.5 m ^(3).` The process obeys the equation PV = a constant, (i) Find the value of this constant (ii) What is the final pressure ? And (iii) Find, the work done by the gas,

Explanation

Let's break down the solution step by step for the given question.

### Given Data:
- Initial Volume, \( V_1 = 0.5 \) liters
- Initial Pressure, \( P_1 = 20 \) atm
- Final Volume, \( V_2 = 0.5 \) m³ = \( 0.5 \times 10^3 \) liters = 500 liters
- The process follows the equation \( PV = \text{constant} \).

...