(B) For gas $X$: $P_X V = \frac{m_X}{M_X} RT \Rightarrow 2V = \frac{1}{M_X} RT$ ...$(i)$For gas $Y$: $P_Y V = \frac{m_Y}{M_Y} RT$Given total pressure

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(B) For gas $X$: $P_X V = \frac{m_X}{M_X} RT \Rightarrow 2V = \frac{1}{M_X} RT$ ...$(i)$For gas $Y$: $P_Y V = \frac{m_Y}{M_Y} RT$Given total pressure $P_{total} = 3 \ atm$,so $P_Y = P_{total} - P_X = 3 - 2 = 1 \ atm$.Substituting values for gas $Y$: $1 \cdot V = \frac{2}{M_Y} RT$ ...$(ii)$Dividing equation $(i)$ by $(ii)$: $\frac{2}{1} = \frac{1/M_X}{2/M_Y} = \frac{M_Y}{2M_X}$$4M_X = M_Y$ or $M_Y = 4M_X$.

Class 11 Chemistry States of Matter Ideal gas equation and Related gas laws

Easy

Pressure of $1 \ g$ ideal gas $X$ at $300 \ K$ is $2 \ atm$. When $2 \ g$ of another gas $Y$ is introduced in the same vessel at the same temperature,the total pressure becomes $3 \ atm$. The correct relationship between molar masses of $X$ and $Y$ is:

AP EAMCET 2021 All AP EAMCET

A
$M_Y = 2M_X$
B
$M_Y = 4M_X$
C
$M_X = 4M_Y$
D
$M_X = 5M_Y$

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States of Matter

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Ideal gas equation and Related gas laws

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Pressure of $1 \ g$ ideal gas $X$ at $300 \ K$ is $2 \ atm$. When $2 \ g$ of another gas $Y$ is introduced in the same vessel at the same temperature,the total pressure becomes $3 \ atm$. The correct relationship between molar masses of $X$ and $Y$ is:

Similar Questions

Volume of a given mass of gas at $17 \, ^oC$ is measured as $200 \, cm^3$. The volume of the same mass of that gas at same pressure and at temperature of $47 \, ^oC$ will be .............. $cm^{3}$

$A$ hot air balloon has a volume of $2000 \text{ dm}^3$ at $99^\circ\text{C}$. What is the new volume if the air in the balloon cools to $80^\circ\text{C}$ (in $\text{ dm}^3$)?

The density of a gas at $-23 \ ^oC$ temperature and $780 \ \text{torr}$ pressure is $1.40 \ g/L$. Identify the gas.

Assuming ideal gas behavior,what is the number of moles of $0.224 \ L$ of hydrogen gas at $STP$ $(273 \ K, 1 \ atm)$?

The correct value of the gas constant $R$ is close to

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