Question

Densities of two gases are in the ratio 1 : 2 and their temperatures are in the ratio 2 : 1, then the ratio of their respective pressures is

• A. 1:1
• B. 1 : 2
• C. 2 : 1
• D. 4 : 1

Answer 1

The correct option is A

1:1

$\frac{d_1}{d_2}=\frac{1}{2},\frac{T_1}{T_2}=\frac{2}{1}\because \frac{P_1}{P_2}=\frac{V_2}{V_1}\times \frac{T_1}{T_2}=\frac{T_1.d_1}{T_2.d_2}$

$\frac{P_1}{P_2}=\frac{2}{1}.\frac{1}{2}=\frac{1}{1}$