P = RT[1/V_m + B/V_m^2 + C/V_m^3 + ...] Where B is the second virial coefficient

Question

P = RT[1/V_m + B/V_m^2 + C/V_m^3 + ...] Where B is the second virial coefficient and C is the third.Calculate the second the third virial coefficients for hydrogen at 0.00 degree C from the following experimental data determined at 0.00degree C. To do this you should use graphical methods. Second Virial Coefficient Enter the value of the virial coefficient B. Give your answer with three significant figures in units of L/mol. B = Third Virial Coefficient Enter the value of the virial coefficient C. Give your answer with three significant figures in units of L/mol.

Explanation / Answer

y = 0.008x3 + 0.351x2 + 22.40x + 0.635

x = 1/Vm

y = Pressure

Here

Second viral coeffecient =RT X B = 0.351

T = 273.5 K

R = 0.08314 L bar / mol K

B = 0.351 / X R X T = 0.351 / 0.08314 X 273.15 = 0.015

Similarly

C = 0.008 / RT = 0.008 / 0.08314 x 273.15 = 3.52 X 10^-4

Pressure molar volume 50.7 0.4634 101.3 0.2386 202.6 0.1271 303.9 0.09004

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