Question:
A gas undergoes an isothermal compression process from an initial volume of \(V_1 = 10 \, \text{m}^3\) to a final volume of \(V_2 = 5 \, \text{m}^3\). The pressure of the gas is given by \(P(V) = \frac{k}{V^2}\), where \(k\) is a constant. Calculate the work done by the gas during this process.
