Question

One mole of a gas filled in a container at N.T.P., the number of molecules in 1 cm³ of volume will be

• A. $6.02 \times 10^{23}/22400$
• B. $6.02 \times 10^{23}$
• C. 1/22400
• D. $6.02 \times 10^{23}/76$

Answer 1

Answer: (A)

$6.02 \times 10^{23}/22400$

Answer 2

Number of molecule in 22.4 litre gas at N.T.P.

$= 6.023 \times 10^{23}$

or number of molecule in $22.4 \times 10^{3}cm^{3} = 6.023 \times 10^{23}$ [As 22.4 litre $= 22.4 \times 10^{3}cm^{3}$]

∴ Number of molecules in $1cm^{3} = \frac{6.023 \times 10^{23}}{22400}$.