Question 19: Atoms & Nuclei

Question

The radius of a muonic hydrogen atom is 2.5 $$	imes$$ 10
$$-$$13
m. The total atomic volume (in m
3
) of a mole of such hydrogen atoms is (Take, $$\pi$$ = 3.14)

Accepted Answer

Given, radius of hydrogen atom, r = 2.5 $$	imes$$ 10
$$-$$13
m
Volume of one atom, $$V = {4 \over 3}\pi {r^3}$$
Number of atoms in 1 mole = 6.023 $$	imes$$ 10
23
Volume of 1 mole of H-atoms = $$N 	imes {4 \over 3}\pi {r^3}$$
$$ = 6.023 	imes {10^{23}} 	imes {4 \over 3} 	imes 3.14 	imes {(2.5 	imes {10^{ - 13}})^3}$$
$$ = 3.94 	imes {10^{ - 14}}$$ m
3

Answer

3.94 $$	imes$$ 10
$$-$$14

Answer

3.09 $$	imes$$ 10
$$-$$14

Answer

4 $$	imes$$ 10
$$-$$14

Answer

3.9 $$	imes$$ 10
$$-$$14

Atoms & Nuclei

The radius of a muonic hydrogen atom is 2.5 $\times 10 -13 m. The total atomic volume (in m 3 ) of a mole of such hydrogen atoms is (Take, \pi$ = 3.14)

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