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 $1:1$

As we know,
$P=\frac{dRT}{M}$
$P\propto d\text{and T},\frac{P_1}{P_2}=\frac{d_1{T}_1}{d_2{T}_2}=\frac{1}{2}\times \frac{2}{1}\Rightarrow P_1:P_2=1:1$