First slide

Gaseous state

Question

2g of a gas X are introduced into an evacuated flask kept at 25°C. The pressure is found to be 1 atm. If 3g of another gas Y are added to the same flask, the total pressure becomes 1.5 atm. Assuming that ideal behaviour, the molecular mass ratio of MY and MX is :

Difficult

Solution

Dalton’s law $P = {P^{'}}_{X} + {P^{'}}_{Y}$
$1.5 = 1.0 + P_{Y}^{'} or P_{Y}^{'} = 0.5 atm$
$For gas X, P_{x}^{'} \times V = \frac{2}{M_{X}} R T$
$For gas Y, P_{Y}^{'} \times V = \frac{3}{M_{Y}} R T$
$\frac{P_{X}^{'}}{P_{Y}^{'}} = \frac{2 M_{Y}}{3 M_{X}} = 3$

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