Question

The number of molecules in $89.6$ litre of a gas at NTP are:

• A. $6.02\times {10}^{23}$
• B. $2\times 6.02\times {10}^{23}$
• C. $3\times 6.02\times {10}^{23}$
• D. None of these

Answer 1

The correct option is D None of these

Given that

Volume of the gas, $V=89.6lit$

Molar volume , $V_m=22.4lit/mol$

$\therefore$ Number of moles, $n=\frac{V}{V_m}=\frac{89.6}{22.4}mol$

$=4$ moles

$\therefore$ Numbers of molecules $N=n\times N_A$

$=4\times 6.022\times {10}^{23}=2.4088\times {10}^{24}$ moles