Answer:
a
[tex]V = 0.124 \ Liters[/tex]
b
[tex]V = 0.112 \ Liters[/tex]
Explanation:
From the question we are told that
The pressure of compressed gas is [tex]P = 200 \ bar = \frac{200}{1.013}= 197.4 \ atm[/tex]
The temperature is [tex]T = 25^oC = 25 + 273 = 298 \ K [/tex]
Generally the perfect gas equation is mathematically represented as
[tex]PV = nRT[/tex]
substituting 0.08206 L-atm/mol-K for R and 1 mole for n
We have that
[tex]V = \frac{1 * 0.08206 * 298 }{ 197.4}[/tex]
[tex]V = 0.124 \ Liters[/tex]
Generally the van der Waals equation is mathematically represented as
[tex]nRT = [P + \frac{n^2 * a }{V^2 } ][V - nb][/tex]
=>[tex]1 * 0.08206 *298 = [197.4 + \frac{1^2 * 1.364}{V^2 } ][V - 1 * 3.19 * 10^{-2}][/tex]
=> [tex]V = 0.112 \ Liters[/tex]
