Question

At constant temperature a gas occupies a volume of 2000 cm at a pressure of 740 mm of mercury. Find at what pressure its volume will be 500 ${\mathrm{cm}}^3$.

Answer 1

$\mathrm{Initial}\mathrm{volume}\mathrm{of}\mathrm{the}\mathrm{gas},V_1=2000{\mathrm{cm}}^3\mathrm{Initial}\mathrm{pressure}\mathrm{of}\mathrm{the}\mathrm{gas},P_1=740\mathrm{mm}\mathrm{Hg}\mathrm{Final}\mathrm{volume}\mathrm{of}\mathrm{the}\mathrm{gas},V_2=500{\mathrm{cm}}^3\mathrm{Final}\mathrm{pressure}\mathrm{of}\mathrm{the}\mathrm{gas},P_2=?P_1{V}_1=P_2{V}_{2}740\times 2000=P_2\times 500P_2=\frac{2000\times 740}{500}=2960\mathrm{mm}\mathrm{Hg}$