Question

What volume (in $ml$) will a sample of gas occupy at ${87}^{\circ }C$ and 720 $mm$ pressure if its volume at ${27}^{\circ }C$ and 750 $mm$ pressure is 250 $mL$? (only integer value). Write the answer in the form of X$\times 100$

Answer 1

Given
$V_1=250mL$
$T_1={27}^{\circ }C$ or $300.15K$
$P_1=750mm$
$V_2=?$
$T_2={87}^{\circ }C$ or $360.15K$
$P_2=720mm$
$\therefore \frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$
$V_2=\frac{P_1{V}_1}{T_1}\times \frac{T_2}{P_2}=\frac{750\times 250}{300.15}\times \frac{360.15}{720}=312.5mL$
So, integer value is 312.