Question

a gas cylinder contains 24x 10²⁴ molecules of nitrogen gas. the relative mass of nitrogen at stp is 14.

calculate mass of nitrogen gas in the cylinder

.

Answer 1

At STP
given that molar mass of nitrogen = 14 g/mol
Thus molar mass of N₂ gas = 28 g/ mol

We know number of molecules in 1 mole of Nitrogen gas = 6.022$\times$10²³ N₂ molecules
Thus 6.022$\times$10²³ N₂ molecules =28 g Nitrogen gas
24$\times$10²⁴ N₂ molecules = $\frac{28}{6.022\times {10}^{23}}\times 24\times {10}^{24}$ g Nitrogen gas
=1115.90 g Nitrogen gas
= 1.115 Kg Nitrogen gas