Two vessels A and B are of the same size and are at same temperature. A contains 1 g of hydrogen and B contains 1 g of oxygen. and are the pressures of the gases in A and B respectively, then is

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Solution

Q.
Two vessels A and B are of the same size and are at same temperature. A contains 1 g of hydrogen and B contains 1 g of oxygen. $P_{A}$ and $P_{B}$ are the pressures of the gases in A and B respectively, then $P_{A} / P_{B}$ is [2024]

1 16

2 8

3 4

4 32

Ans.
(1)

Ideal gas equation, $P_{A} V_{A} = n_{A} R T_{A}$

and $P_{B} V_{B} = n_{B} R T_{B}$

from (i) and (ii), $\frac{P_{A} V_{A}}{P_{B} V_{B}} = \frac{n_{A} R T_{A}}{n_{B} R T_{B}}$

Given $V_{A} = V_{B}$ and $T_{A} = T_{B}$

$\frac{P_{A}}{P_{B}} = \frac{n_{A}}{n_{B}} = \frac{1 / 2}{1 / 32} = 16$

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