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AIIMS 201827 May

Exam: AIIMS
Year: 2018
Date: 27 May
Subject: Chemistry
Chapter: States of Matter

AIIMS 2018 · 27 May · Chemistry · States of Matter

When 1 ~g of gas A at 4 bar pressure is added to 2 ~g of gas B ,...

When

1 \mathrm{~g}

of gas

A

at 4 bar pressure is added to

2 \mathrm{~g}

of gas

B

, the total pressure inside the container becomes 6 bar. Which of the following is true?

Options

A $M_A=2 M_B$
B $M_B=2 M_A$
C $M_A=4 M_B$
D $M_B=4 M_A$

Correct answer

D. $M_B=4 M_A$

Step-by-step solution

\begin{aligned} & \text{ } \frac{n_1}{p_1}=\frac{n_2}{p_2} \\ & \frac{1}{\frac{M_A}{4}}=\frac{\frac{1}{M_A}+\frac{2}{M_B}}{6} \Rightarrow \frac{3}{M_A}=\frac{2}{M_A}+\frac{4}{M_B} \\ & \Rightarrow \frac{1}{M_A}=\frac{4}{M_B} \therefore M_B=4 M_A\end{aligned}

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