Answer to Question #217627 in Physical Chemistry for Pearl

Question

1a)Calculate the pressure exerted by 1 mole of methane in a 250ml container at 300k using vanderwaal's equation

1b) what pressure will be predicted by ideal gas equation

a=2.253L^2atm/mol^2

b=0.0428L/mol

R=0.0821Latm/mol/k

Answer 1

Volume = $\frac{250}{1000}=0.25l$

$[P+\frac{n^2a}{V^2}][V-nb]=nRT$

$(P+\frac{2.253}{0.25×0.25})(0.25-0.0428)=0.0821×300$

$(P+36.048)(0.2072)=24.63$

$P+36.048=118.87$

$P=82.82$ atm