Question

A steady current passing through a solution of $AgNO_{3}$ deposits $0.50\,g$ of $Ag$ in $1\,h$ . What volume of hydrogen in $mL$ at $27^{\circ} C$ and $750\,mm$ pressure would the same current liberate in one hour?
Express your answer by rounding off up to two significant figures

Answer 1

$W =0.5 g , t =1 hrW = Z . Q =\frac{\text { Gram equivalent weight } \times Q }{96500}$
Number of coulombs $=\frac{0.5 \times 96500}{108} C =446.7 C$
Gram equivalents of $H _2$ produced $=\frac{ Q }{96500}=\frac{446.7}{96500}$
$\frac{ v _{ H _2}}{\frac{\text { molar volume }}{2}}=\frac{446.7}{96500} $
(For $H _2$, equivalent volume $=\frac{\text { molar volume }}{2}$ )
$V _{ H _2}=4.6296 \times 10^{-3} \times \frac{\text { molar volume }}{2}$
$=4.6296 \times 10^{-3} \times \frac{0.0821 \times 300}{750 / 760 \times 2}=0.0577\, L =57.7 \,mL$