The value of the pressure calculated from the Vander Waal equation is slightly less than that is calculated from the ideal gas equation.
We know that the ideal gas equation assumes that there is no interaction that exists between gas molecules. The ideal gas equation corrects the ideology with the addition of constants that take care of possible interaction between gases.
Now, using the ideal gas equation;
PV =nRT
P = ?
V = 30.0L
T = 600.0K
n = 1.00 mol
R = 0.082 atmLK-1mol-1
P = nRT/V
P = 1.00 mol * 0.082 atmLK-1mol-1 * 600.0K/30.0L
P = 1.64 atm
Using the Vander Waal equation
a = 6.49
b = 0.0562
Thus;
P = RT/V - b - a/V^2
P = 0.082 * 600.0/30.0 - 0.0562 - 6.49/(30)^2
P = 49.2/29.9438 - 6.49/900
P = 1.64 - 0.00721
P = 1.63 atm
Thus the value of the pressure calculated from the Vander Waal equation is slightly less than that is calculated from the ideal gas equation.
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