For liquid acetone at \(20^{\circ} \mathrm{C}\) and \(1 \mathrm{bar}\),

\[ \beta=1.487 \times 10^{-3} /{ }^{\circ} \mathrm{C} \quad \alpha=62 \times 10^{-6} / \mathrm{bar} \quad V=1.287 \mathrm{~cm}^{3} / \mathrm{g} \]

Find out

(a) the value of \(\left(\frac{\partial P}{\partial T}\right)_{V}\) at \(20^{\circ} \mathrm{C}\) and 1 bar

(b) the pressure generated by heating at constant volume \(V\) from \(20^{\circ} \mathrm{C}\) and 1 bar to \(30^{\circ} \mathrm{C}\).

(c) the change in volume for a change from \(20^{\circ} \mathrm{C}\) and 1 bar to \(0^{\circ} \mathrm{C}\) and 10 bar.