Question

The volume occupied by one molecule of water (density $1g/c{m}^3$) is:

• A. $18c{m}^3$
• B. $22400c{m}^3$
• C. $6.023\times {10}^{-23}c{m}^3$
• D. $3.342\times {10}^{-23}c{m}^3$

Answer 1

The correct option is D $3.342\times {10}^{-23}c{m}^3$

The density of water is approximately $1g/c{m}^3$. 1 gram of water is $1/18.02$ moles, or $0.05549mol$. $0.05549$ mol of water contains $0.05549\times 6.022\times {10}^{23}$ molecules, or $3.342\times {10}^{23}$ molecules.