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JEE Main 20179 AprilOnline
Exam
JEE Main
Year
2017
Date
9 April
Mode
Online
Subject
Chemistry
Chapter
States of Matter

JEE Main 2017 · 9 April · Online · Chemistry · States of Matter

At 300K , the density of a certain gaseous molecule at 2 bar is...

At 300K300K, the density of a certain gaseous molecule at 22 bar is double to that of dinitrogen (N2)\left({N}_{2}\right) at 44 bar. The molar mass of the gaseous molecule is

Options

  1. A224gmol−1224g{mol}^{- 1}
  2. B112gmol−1112g{mol}^{- 1}
  3. C56gmol−156g{mol}^{- 1}
  4. D28gmol−128g{mol}^{- 1}

Correct answer

B. 112gmol−1112g{mol}^{- 1}

Step-by-step solution

d=PMwtRTd1P1M1=d2P2M2\begin{array}{ll}d = \dfrac{{PM}_{wt}}{RT} \\ \dfrac{{d}_{1}}{{P}_{1}{M}_{1}} = \dfrac{{d}_{2}}{{P}_{2}{M}_{2}}\end{array}

2d22×Mgas=d24×MN2\dfrac{2{d}_{2}}{2 \times {M}_{gas}} = \dfrac{{d}_{2}}{4 \times {M}_{{N}_{2}}}

Mgas=4×MN2{M}_{gas} = 4 \times {M}_{{N}_{2}}

=112gmol−1= 112g{mol}^{- 1}.
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