Question

$273ml$ of a gas at STP was taken to ${27}^{o}C$ and $600mm$ pressure. The final volume of the gas would be:

• A. 273 mL
• B. 300 mL
• C. 380 mL
• D. 586 mL

Answer 1

The correct option is C 380 mL

We know that, for constant no. of moles of gas,

$\frac{P_1{V}_1}{T_1}$ = $\frac{P_2{V}_2}{T_2}$

Given, initial conditions,

$P_1=760mm$ (STP)

$V_1=273mL$

$T_1=273K$ (STP)

Final conditions,

$P$ $=600mm$

$T$ $=300K$

Thus, $V_2=\frac{P_1{V}_1}{T_1}\times \frac{T_2}{P_2}$ = $\frac{760\times 273\times 300}{273\times 600}=380mL$

Hence, option C is correct.