Question

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

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

Answer 1

Answer: (C)

$380mL$

We know that :

$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$
The initial conditions are :

Pressure $P_1=760$ mm Hg
Temperature $T_1=$ 273 K
Volume $V_1=273$ mL
STP conditions refer to pressure of 760 mm Hg and temperature of 273 K.
The final conditions are :

Pressure $P_2=600$ mm Hg
Temperature $T_2=273+27K=$ 300 K
Volume $=V_2$

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

$\frac{760\times 273}{273}=\frac{600\times V_2}{300}$
$V_2=380$ mL

Hence the correct option is C.