Question

One litre of a gas is collected at STP. What would be the volume of the same gas at $2$ atmospheric pressure and ${27}^{\circ }C$:

• A. $\frac{300}{2\times 273}litre$
• B. $\frac{2\times 300}{273}litre$
• C. $\frac{273}{2\times 300}litre$
• D. $\frac{2\times 273}{300}litre$

Answer 1

Answer: (A)

$\frac{300}{2\times 273}litre$

The initial conditions are,

$P_1=1$ atm

$V_1=$ 1 L
$T_1=$ 273 K

The final conditions are:

$P_2=2$ atm
$V_2=$ ?
$T_2=273+27=$ 300 K

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

$\frac{1\times 1}{273}=\frac{2\times V_2}{300}$

$V_2=\frac{300}{2\times 273}litre$

Hence, the correct option is $\text{A}$