Question

The density of water is 1g/mL. Assuming that there are no interspaces between water molecules in liquid water, the volume of a water molecule is

• A. $1.5\times {10}^{-23}ml$
• B. $6\times {10}^{-23}ml$
• C. $3\times {10}^{-23}ml$
• D. $3\times {10}^{-22}ml$

Answer 1

The correct option is C $3\times {10}^{-23}ml$

Density of water $\left(d\right)=1g/ml$

Mass of $1ml$ of water= $1g$

Number of molecules in $1gm$ of water= $\frac{1\times 6.022\times {10}^{23}}{18}$

Volume of $\frac{6.023\times {10}^{23}}{18}$ molecules= $1ml$

$\therefore$ Volume of $1$ molecule=$\frac{1}{\frac{6.023\times {10}^{23}}{18}}=3\times {10}^{-23}ml$

Hence, the correct option is $C$