Answer:
the percentage error is
50.1%
Explanation:
given that
Mole of NH₃ = 500mole
Volume of container = 1.92l
temperature = 300k
lets calculate the pressure of ammonia gas using both ideal gas equation and vanderwal’s equation
PV = nRT
P = [tex]\frac{nRT}{V}[/tex]
=[tex]\frac{5mole*0.0821latmmol^-^1k^-^1*300k}{1.92l - 5.00mol * 0.0371l/mol} - \frac{4.7atml^2mol^2*5.00mol^2}{1.92l^2}[/tex]
P = 283 atm - 71.0 atm = 42.7 atm
The percentage error in ideal gas equation is
% error = [tex]\frac{P_vdw - P_ideal}{P_vdw} *100%[/tex]%
= [tex]\frac{42.7atm - 64.1atm}{42.7atm} * 100%[/tex]%
%error = 50.1%