Pressure of 1g ideal gas X at 300 K is 2 atm. When 2 g of another gas Y is introduced in the same vessel at same temperature, the pressure become 3 atm then correct relationship between molar mass of X and Y is :

Pressure of 1g ideal gas X at 300 K is 2 atm. When 2 g of another gas Y is introduced in the same vessel at same temperature, the pressure become 3 atm then correct relationship between molar mass of X and Y is :

A
$M_{Y} = 2 M_{X}$
B
$M_{Y} = 4 M_{X}$
C
$M_{X} = 4 M_{Y}$
D
None of these

Solution:

$\begin{array}{l} \frac{P_{x}}{P_{y}} = \frac{n_{x}}{n_{y}} \\ \frac{2}{1} = \frac{1 / m_{x}}{2 m_{y}} \\ m_{y} = 4 m_{x} \end{array}$

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