Question

Q. Calculate the number of atoms in each of the following (i) 52 moles of Ar (ii) 52 u of He (iii) 52 g of He​

Answer 1

The number of atoms will be 3.131 x $10^{25}$,  7.8286 x $10^{24$, and 7.8286 x $10^{24$ atoms respectively.

Number of atoms

There are 6.022 x $10^{23}$ atoms in 1 mole of every substance.

52 moles of Ar will contain 52 x 6.022 x $10^{23}$ = 3.131 x $10^{25}$ atoms

52 u of He = 52/4 = 13 moles of He.

13 moles of he = 13 x 6.022 x $10^{23}$ = 7.8286 x $10^{24$ atoms

52 g of He = 52/4 = 13 moles of He.

13 moles of he = 13 x 6.022 x $10^{23}$ = 7.8286 x $10^{24$ atoms

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Answer 2

1. The number of atoms in 52 mole of Ar is 3.13×10²⁵ atoms

2. The number of atoms in 52 u of He is 7.83×10²⁴ atoms

3. The number of atoms in 52 g of He is 7.83×10²⁴ atoms

Avogadro's hypothesis

1 mole of substance = 6.02×10²³ atoms

1. How to determine the number of atoms in 52 mole of Ar

1 mole of Ar = 6.02×10²³ atoms

Therefore,

52 mole of Ar = 52 × 6.02×10²³

52 mole of Ar = 3.13×10²⁵ atoms

2. How to determine the number of atoms in 52 u of He

4 u of He = 1 mole

Thus,

52 u of He = 52 / 4

52 u of He = 13 moles

From Avogadro's hypothesis,

1 mole of He = 6.02×10²³ atoms

Therefore,

13 moles of He = 13 × 6.02×10²³

13 moles of He = 7.83×10²⁴ atoms

Thus,

52 u of He = 7.83×10²⁴ atoms

3. How to determine the number of atoms in 52 g of He

4 g of He = 1 mole

Thus,

52 g of He = 52 / 4

52 g of He = 13 moles

From Avogadro's hypothesis,

1 mole of He = 6.02×10²³ atoms

Therefore,

13 moles of He = 13 × 6.02×10²³

13 moles of He = 7.83×10²⁴ atoms

Thus,

52 g of He = 7.83×10²⁴ atoms

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