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)

Choose the correct answer: