Question

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

Answer 1

Hi,Density (d) = 1 g/mlmass of 1 ml of water = 1gNumber of molecules in 1 gm of water = 1×6.022 ×102318Volume of 6.022 ×102318 molecules = 1 mlVolume of 1 molecule = 16.022 ×102318 =186.022 ×1023 = 3 ×10−23 mlRegards

Answer 2

Answer:The volume of a water molecule is $3.019\times 10^{-23} mL$

Explanation;

Number of moles  of water in 1 g $=\frac{1 g}{18 g/mol}=0.055 moles$

Number of water molecules in 1 g= $0.055 moles\times 6.022\times 10^{23} =3.3121\times 10^{22} molecules$

Now according to question, density of the water is 1 g/ml.

1 gram of water = 1 mL

In 1 gram of water =$3.3121\times 10^{22} molecules$

$3.3121\times 10^{22} molecules$ = 1 mL

Volume of 1 molecule of water :

$\frac{1}{3.3121\times 10^{22}}=3.019\times 10^{-23} mL$