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Question

Find the number of atoms in 62 g of phosphorous if its gram atomic mass is 31 g.

A
5.74×1023
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B
3.04×1023
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C
12.04×1023
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D
1.04×1021
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Solution

The correct option is C 12.04×1023
Given, mass of phosphorus = 62 g
The gram atomic mass (GAM) of phosphorus = 31 g
Also, 1 mole = 6.023×1023 particles
Number of moles of phosphorus
= Given mass in gramsG.A.M ... (i)

Substituting the value of given mass in grams and GAM in equation (i) we have:

Number of moles = 6231 = 2 moles
The number of atoms present in 62 grams of phosphorous = 2×NA
= 2×6.23×1023
= 12.04×1023 atoms.

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