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

Answer: (A)

1 : 1

Answer 2

$\frac{P_{1}V_{1}}{P_{2}V_{2}} = \frac{T_{1}}{T_{2}}$, $\frac { T _ { 1 } } { T _ { 2 } } = \frac { 2 } { 1 } \because \frac { P _ { 1 } } { P _ { 2 } } = \frac { V _ { 2 } } { V _ { 1 } } \times \frac { T _ { 1 } } { T _ { 2 } } = \frac { T _ { 1 } \cdot d _ { 1 } } { T _ { 2 } \cdot d _ { 2 } }$ $\frac{V_{1}V_{2}}{T_{1}T_{2}} = P_{1}P_{2}$