Question

The volume of $1.204\times {10}^{24}$ molecules of water at $4{}^{o}C$ & $100{}^{o}C$ at $1$ atm are:

• A. $36$ mL ,$22400$ mL
• B. $36$ mL, $44800$ mL
• C. $18$ mL, $44800$ mL
• D. $36$ mL, $61247$ mL

Answer 1

The correct option is D $36$ mL, $61247$ mL

$1.204\times {10}^{24}$ molecules of water $=2$ mol.

$2$ mole of $H_{2}O$ at $4{}^{o}C$ is equal to $36$ g or $36$ ml whereas

$2$ mol gas at 100 ${}^{0}C$ will be equal to $\frac{2\times 0.0821\times 373}{1}=61.247$ litres = 61247 mL

Hence, the correct option is $\text{D}$