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Question: The volume of water molecule is (Take, density of water is 103 kg m–3 and Avogadro’s number = 6 × 10...

The volume of water molecule is (Take, density of water is 103 kg m–3 and Avogadro’s number = 6 × 1023 mole–1)

A

3 × 10–28 m3

B

3 × 10–29 m3

C

1.5 × 10–28 m3

D

1.5 × 10–29 m3

Answer

3 × 10–29 m3

Explanation

Solution

Molecular mass of water = 18

\thereforeNumber of molecular in 18g

or 0.018kg0.018kgof water =6×1023= 6 \times 10^{23}

\thereforeMass of molecule of water

=0.0186×1023=3×1026= \frac{0.018}{6 \times 10^{23}} = 3 \times 10^{- 26}

\thereforeVolume of a water molecule

=MassDensity=3×1026100=×1029m3= \frac{Μass}{Density} = \frac{3 \times 10^{- 26}}{100} = \times 10^{- 29}m^{3}

=3×1029m3= 3 \times 10^{- 29}m^{3}