Question

The volume occupied by $4.75 g$ of acetylene gas at $50^{\circ} C$ and $740 mmHg$ pressure is_______$L$ (Rounded off to the nearest integer)
$\left[\right.$ Given $R =0.0826 L$ atm $\left. K ^{-1} mol ^{-1}\right]$

Answer 1

Given Mass $=4.75 g$

$\Rightarrow C _{2} H _{2}( g )$

$\Rightarrow $ Moles $=\frac{4.75}{26} mol$

Temp $=50+273=323\, K$

$P =\frac{740}{760}$ atm

$R =0.0826 \frac{\ell atm }{ mol\, K }$

$\Rightarrow V =\frac{ nRT }{ P}$

$=\frac{4.75}{26} \times \frac{0.0826 \times 323}{\left(\frac{740}{760}\right)}$

$\Rightarrow V =\frac{96314.078}{19240}$

$=5.0059 \ell \simeq 5 \ell$