Explanation:
\(P_{i} V_{i}^{\gamma}=P_{f} V_{f}^{\gamma}\)
\({P_f}\,\, = \frac{{{P_i}}}{{{3^\gamma }}} = \frac{{{{10}^5}}}{{{3^{1.4}}}}\)
\(W\,\, = \frac{{{P_f}{V_f} - {P_i}{V_i}}}{{1 - \gamma }}\)
\(\,\,\,\,\,\, = \frac{{\frac{{{{10}^5}}}{{{3^{1.4}}}} \times 3 \times {{10}^{ - 3}} - {{10}^5} \times {{10}^{ - 3}}}}{{1 - 1.4}}\)
\(W \approx 90.5\;J\)