A 5.00-mole sample of NH3 gas is kept in a 1.92-L container at 300 K. If the van der Waals equation is assumed for the pressure of the gas, calculate the percent error made in using the ideal-gas equation to calculate the pressure.

Respuesta :

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%