Answer to Question #207705 in Classical Mechanics for Rae

Question

A 6 L bottle contains 16·1023 N2 molecules. Find the

a) amount of substance and

b) the pressure of the nitrogen gas if its temperature is 0 °C and it is considered ideal.

Could you explain b) in detail please?

Answer 1

a)

$\nu=\frac{N}{N_A}=\frac{16\cdot 10^{23}}{6.02\cdot 10^{23}}=2.66~mol,$

b)

$p=\frac{\nu RT}{V}=\frac{2.66\cdot 8.31\cdot 273}{0.006}=9.9~atm.$