Answer
(a) $81.5L$
(b) $78.6m^3$
Work Step by Step
(a) We can determine the required number of liters of water as follows:
$V_{\circ}=\frac{pVM}{\rho_{\circ}RT}$
We plug in the known values to obtain:
$V_{\circ}=\frac{(50)(101300)(5)(0.018)}{(1000)(8.31)(673)}$
This simplifies to:
$V_{\circ}=0.0815m^3=81.5L$
(b) The required volume can be determined as follows:
$V_1=\frac{pT_1}{p_1T}V$
We plug in the known values to obtain:
$V_1=\frac{(50)(243)}{2(673)}(5)$
$\implies V_1=78.6m^3$
