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JEE Main 201323 AprilOnline
Exam
JEE Main
Year
2013
Date
23 April
Mode
Online
Subject
Chemistry
Chapter
Some Basic Concepts of Chemistry

JEE Main 2013 · 23 April · Online · Chemistry · Some Basic Concepts of Chemistry

Number of atoms in the following samples of substances is largest...

Number of atoms in the following samples of substances is largest in:

Options

  1. A4.0 g4.0 \mathrm{~g} of hydrogen
  2. B71.0 g71.0 \mathrm{~g} of chlorine
  3. C127.0 g127.0 \mathrm{~g} of iodine
  4. D48.0 g48.0 \mathrm{~g} of magnesium

Correct answer

A. 4.0 g4.0 \mathrm{~g} of hydrogen

Step-by-step solution

4g4 \mathrm{ g} of hydrogen=4moleofhydrogenmole of hydrogen=4 \times 6.023 \times 10^{23}atomsatoms71.0gm of chlorine =71.071.0=1 moles of  chlorine 127gm of iodine =12 mole of 2=127254=6.023×1023 atoms 48.0gm of magnesium =48.024.0=2×6.023×1023×12 atoms ∴4.0gmH2 has largest number of atoms. \begin{aligned} & 71.0 \mathrm{gm} \text{ of chlorine }=\frac{71.0}{71.0}=1 \text{ moles of } \\ & \text{ chlorine } \\ & 127 \mathrm{gm} \text{ of iodine }=\frac{1}{2} \text{ mole of }_2 \\ & =\frac{127}{254}=6.023 \times 10^{23} \text{ atoms } \\ & 48.0 \mathrm{gm} \text{ of magnesium } \\ & =\frac{48.0}{24.0}=2 \times 6.023 \times 10^{23} \times \frac{1}{2} \text{ atoms } \\ & \therefore 4.0 \mathrm{gm} \mathrm{H}_2 \text{ has largest number of atoms. } \end{aligned}$$
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