Question

The volume occupied by one mole of water is [ density of water $=1gm/c{m}^3:$

• A. $22400c{m}^3$
• B. $6.02\times 10^{-23}c{m}^3$
• C. $3.0\times 10^{-23}c{m}^3$
• D. $11200c{m}^3$

Answer 1

Answer: (C)

We know that volume occupied by one
molecule of water $=\frac{\text{ mass of water }}{\text{ density of water}}$
mass of water $=\frac{\text{ molecular weight }}{6.02\times 10^{23}}$
$=\frac{18}{6.02\times 10^{23}}$
$=3.0\times 10^{-23}$
$\therefore$ volume $=\frac{3.0\times 10^{-23}}{1}$
$=3.0\times 10^{-23}c{m}^{-3}$