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Q. The volume occupied by $4.75\,g$ of acetylene gas at $50^\circ C$ and $740\,mm\,Hg$ pressure is ______$L.$
(Rounded off to the nearest integer) (Given $R=0.0826L$ atm $K^{- 1}mol^{- 1}$ )

NTA AbhyasNTA Abhyas 2022

Solution:

$PV=nRT$
$T=50^\circ C=323.15\,K$
$P=740\,mm$ of $Hg=\frac{740}{760}atm$
$V=?$
moles $\left(n\right)=\frac{4 . 75}{26}$
$V=\frac{4 . 75}{26}\times \frac{0 . 0821 \times 323 . 15}{740}\times 760$
$V=4.97=5\,Lit$