Question

Find the number of molecules of an ideal gas in a volume of 1000 $c{m}^3$ at STP.

Answer 1

We know,

n = $\frac{PV}{RT}=\frac{1\times 1\times {10}^{-3}}{0.082\times 273}$

= $\frac{{10}^{-3}}{22.4}=\frac{1}{22400}$

No. of molecules

=$0.023\times {10}^{23}\times \frac{1}{22400}$

= $2.688\times {10}^{-4}\times {10}^{23}$

= $2.688\times {10}^{19}$