The size of a hydrogen atom is about 0.5 mathringA . The total atomic volume of a mole of hydrogen atoms is

Question

The size of a hydrogen atom is about 0.5 mathringA . The total atomic volume of a mole of hydrogen atoms is (A) 3 × 10-7 m 3 (B) 3 × 10-8 m 3 (C) 3 × 10-9 m 3 (D) 3 × 10-11 m 3

Tardigrade Admin · Accepted Answer

Volume of a hydrogen atom =(4/3) π r3 =(4/3) × 3.14 ×(0.5 × 10-10)3=(1/2) × 10-30 m 3 Total volume of a mole of hydrogen atom =(6.023 × 1023) ×((1/2) × 10-30)=3 × 10-7 m 3

Q. The size of a hydrogen atom is about $0.5 \overset{˚}{A} .$ The total atomic volume of a mole of hydrogen atoms is

$3 \times 1 0^{- 7} m^{3}$

$3 \times 1 0^{- 8} m^{3}$

$3 \times 1 0^{- 9} m^{3}$

$3 \times 1 0^{- 11} m^{3}$

Volume of a hydrogen atom $= \frac{4}{3} π r^{3}$
$= \frac{4}{3} \times 3.14 \times (0.5 \times 1 0^{- 10})^{3} = \frac{1}{2} \times 1 0^{- 30} m^{3}$
Total volume of a mole of hydrogen atom
$= (6.023 \times 1 0^{23}) \times (\frac{1}{2} \times 1 0^{- 30}) = 3 \times 1 0^{- 7} m^{3}$

Q. The size of a hydrogen atom is about 0.5A˚. The total atomic volume of a mole of hydrogen atoms is

3×10−7m3

3×10−8m3

3×10−9m3

3×10−11m3