Question

A vessel of volume $5000c{m}^3$ contains $\left(1/20\right)$ $mole$ of molecular nitrogen at $1800K$. If $30$% of the molecules are now dissociated, find the pressure inside the vessel in $Pascals$.

Answer 1

Total moles of gas and atoms inside the vessel;

[$1mole\leftrightharpoons 2moles$ of atom; $\frac{30}{100}\times \frac{1}{20}\leftrightharpoons \frac{60}{100}\times \frac{1}{20}$]

$=\frac{70}{100}\times \frac{1}{20}+\frac{60}{100}\times \frac{1}{20}moles$

$PV=nRT$

$P=(\frac{13}{10}\times \frac{1}{20}).\frac{8.314\times 1800}{5000\times {10}^{-6}}$

$P=194.54Pascals$