\(V_1 = 0.014\)
\(P_1 = 2070\, kn/m^2\)
\(P_2 = 207\, kn/m^2\)
\(V_2 = ?\)
\(v = 1.35\)
we know
\(V_2 = V_1(\frac{P_1}{P_2})^{1/r}\)
\(V_2 = 0.014 \left(\frac{2070}{207}\right)^{1/1.35}\)
\(V_2 = 0.014 \times (10)^{0.74}\)
\(V_2 = 0.076 m^3\)
Work done
\(W =\frac1{v-1} (P_1V_1 - P_2V_2)\)
\(= \frac1{(1.35-1)} (2070 \times 0.014 - 207 \times 0.076)\)
\(= \frac 1{0.35} (28.98 - 15.73)\)
\(= \frac1{0.35} \times 13.25\)
\(W = 37.85 J\)
