Question

# Use the van der Waals equation and the ideal gas equation to calculate the pressure for...

Use the van der Waals equation and the ideal gas equation to calculate the pressure for 2.00 mol He gas in a 1.00 L container at 300.0 K. 1st attempt

Part 1 (5 points)

Ideal gas law pressure_____ atm

Part 2 (5 points)

Van der Waals pressure_____ atm

Given,

Number of moles of He = 2.00 mol

Volume of container(V) = 1.00 L

Temperature(T) = 300.0 K

Part 1)

We know, the ideal gas equation,

PV = nRT

Here, R =0.08206 L atm /mol.K

Rearranging the equation,

P = nRT /V

Substituting the known values,

P = (2.00 mol x 0.08206 L.atm /mol.K x 300.0 K) / 1.00 L

P = 49.2 atm

Thus, ideal gas law pressure is 49.2 atm

Part 2)

We know, Van der Waals equation,

(P - n2a/V2) (V- nb) = nRT

Here,

a (for He) = 0.0346 L2 atm / mol2

b (for He) =0.0238 L/mol

Rearranging the van der Waals equation,

P = (nRT /V-nb) - (n2a / V2)

Substituting the known values,

P = [( 2.00 mol x 0.08206 L. atm/mol.K x 300.0 K) / (1.00 L - 2.00 mol x 0.0238 L/mol)] - [(2.00 mol)2 x 0.0346 L2 atm / mol2/(1.00 L)2]

P = 51.6968 - 0.1384

P = 51.6 atm

Thus, Van der Waals pressure is 51.6 atm

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