Question

What volume will a sample of gas occupy at ${87}^{\circ }C$ and $720mm$ pressure if its volume at ${27}^{\circ }C$ and $750mm$ pressure is $250mL$?

• A. $V_2=300mL$
• B. $V=312.5mL$
• C. $V=600mL$
• D. None of these

Answer 1

The correct option is B $V=312.5mL$

Given
$V_1=250mL$

$T_1={27}^{\circ }C$ or $300.15K$

$P_1=750mm$

$V_2=?$

$T_2={87}^{\circ }C$ or $360.15K$

$P_2=720mm$

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

or $V_2=\frac{P_1{V}_1}{T_1}\times \frac{T_2}{P_2}=\frac{750\times 250}{300.15}\times \frac{360.15}{720}=312.5mL$

Therefore, the option is B.