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NTA Abhyas 2020

Exam: NTA Abhyas
Year: 2020
Subject: Chemistry
Chapter: States of Matter

NTA Abhyas 2020 · Chemistry · States of Matter

100ml of O _ 2 (g) effuse from a porous container in 100 .75ml of...

\text{100}\text{ml}

of

{O}_{2}

\left(g\right)

effuse from a porous container in

\text{100}\text\sec\text{.}\text{75}\text{ml}

of unknown gas effuses under the same conditions of temperature and pressure in

\text{150}\text\sec\text{.} Calculate vapour density of unknown gas?

Options

A16
B32
C64
D128

Correct answer

C. 64

Step-by-step solution

\dfrac{{r}_{{o}_{2}}}{{r}_{unknown}} = \dfrac{\dfrac{{v}_{1}}{{t}_{1}}}{\dfrac{{v}_{2}}{{t}_{2}}} = \sqrt{\dfrac{{M}_{unknown}}{{M}_{{o}_{2}}}}

⇒ \dfrac{\text{100}\text{\times}\text{150}}{\text{100}\text{\times}\text{75}} \text{=}\sqrt{\dfrac{{M}_{\text{unknown}}}{\text{32}}}

⇒ {M}_{\text{unknown}} = 128

∴ \text{V}\text{.D}\text{.} = \dfrac{128}{2} = 64

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