Question

A certain mass of dry gas at ${27}^{\circ }C$ and 760 $mm$ pressure has density 28. What will be its density at $7^{\circ }C$ and 740 $mm$?

• A. $d=14.6$
• B. $d=29.21$
• C. $d=58.42$
• D. None of these

Answer 1

The correct option is B $d=29.21$

Given
$d_1=28$
$P_1=760mm$
$T_1={27}^{\circ }C=300.15K$
$d_2=?$
$P_2=740mm$
$T_2=280.15K$

$\therefore \frac{d_1}{d_2}=\frac{P_1\times T_2}{T_1\times P_2}$

$\therefore d_2=\frac{d_1\times T_1\times P_2}{P_1\times T_2}=\frac{28\times 300.15\times 740}{760\times 280.15}=29.21$