Question

The volume of a gas is 300ml at $0^{\circ }$C temperature and $2$ atm pressure find the volume of gas at N.T.P.

Answer 1

By ideal gas equation,

$P_1{V}_1=nR{T}_1$

$⟹n=\frac{P_1{V}_1}{R{T}_1}$

$⟹n=\frac{2\times 0.3}{0.0821\times 273}$

$⟹n=0.0268$ $moles$

At NTP, $P_2=1$ $atm$, $T_2={20}^{o}C=293$ $K$

$\therefore ,V_2=\frac{nR{T}_2}{P_2}$

$⟹V_2=\frac{0.0268\times 0.0821\times 293}{1}$

$⟹V_2=0.64468$ $L$

$⟹V_2=644.68$ $mL$

Therefore, Volume of gas at NTP is $644.48$ $mL$