Print Bea Calculator l Periodic Table ion 30 of 30 Incorrect Incorrect Map Sapli

Question

Print Bea Calculator l Periodic Table ion 30 of 30 Incorrect Incorrect Map Sapling Learning macmillan learning Use the van der Waals equation of state to calculate the pressure of 3.40 mol of CH4 at 479 K in a 4.70 L vessel. Van der Waals constants can be found here. Number P- 30.41 atm Use the ideal gas equation to calculate the pressure under the same conditions Number P- 28.413 atm A Previous Give Up & View Solution Check Answer Next DI Exit Hint The van der Waals equation of state is given by nRT V- nb where P is pressure, n is number of moles, R is the gas constant, Tis the absolute temperature, Vis the volume, and a and b are the van der Waals constants accounting for intermolecular attraction and the size of gas molecules. Values of a and b for CH4 gas can be found here.

Explanation / Answer

a= 2.2678atm-L2/mole2

b = 0.043L/mole

n = 3.4 moles

T = 479K

V = 4.7L

(P + a n2/v2)(v-nb) = nRT

(P+ 2.2678 *(3.4)2/(4.7)2) (4.7-3.4*0.043) = 3.4*0.0821*479

(P + 1.186)(4.5538) = 133.7

P = 28.17atm

PV = nRT

P = nRT/V

     = 3.4*0.0821*479/4.7 = 28.448atm

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