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JEE Main 202224 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
24 June
Shift
Evening Shift
Subject
Chemistry
Chapter
States of Matter

JEE Main 2022 · 24 June · Evening Shift · Chemistry · States of Matter

At 300K , a sample of 3 . 0g of gas A occupies the same volume as 0...

At 300K300K, a sample of 3.0g3 . 0g of gas A occupies the same volume as 0.2g0 . 2g of hydrogen at 200K200K at the same pressure. The molar mass of gas AA is gmol−1g{mol}^{- 1}. (nearest integer) Assume that the behaviour of gases as ideal. (Given: The molar mass of hydrogen (H2)\left({H}_{2}\right) gas is 2.0gmol−12 . 0g{mol}^{- 1}.)

Correct answer

0

Step-by-step solution

PV=nRTV=nRTPVH2=VA(Given)PV = nRTV = \dfrac{nRT}{P}{V}_{{H}_{2}} = {V}_{A} ( Given )

(nRTP)A=(nRTP)H2\begin{array}{ll}{\left(\dfrac{nRT}{P}\right)}_{A} = {\left(\dfrac{nRT}{P}\right)}_{{H}_{2}}\end{array}

3×300MA=0.22×200\begin{array}{ll}\dfrac{3 \times 300}{{M}_{A}} = \dfrac{0 .2}{2} \times 200\end{array}

Hence, the molar mass of A, MA=45g{M}_{A} = 45g

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