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Question

The number of atoms present in 1.6g of methane is


A

6.02×1023

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B

3.01×1024

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C

3.01×1023

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D

6.02×1024

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Solution

The correct option is C

3.01×1023


Explanation:

Step 1: Analyzing the given data

Given mass of methaneCH4 =1.6g

Molar mass of methaneCH4 =12.01gmol-1+1.0079×4gmol-1=16.0416gmol-1

Step 2: Calculating the number of atoms

The number of molecules of methane can be calculated using given formula

Numberofmolecules=GivenmassMolarmass×Avogadronumber

Since one methane molecule contains four atoms of hydrogen and one atom of carbon. So, total number of atom can be calculated as

Numberofatoms=5×1.6g16.0416gmol-1×6.022×1023mol-1=3.003×10233.01×1023

Hence, the number of atoms is 3.01×1023.

Hence, option (C) is correct.


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