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Bookmarks People Window Help ») C Thousands Of Buses Ru n Ga 1 .00 L vessel at 0 deg Ty Dolla Sign- Miracle how to uestion 21 of 25 (1 point) × Incorrect Thousands of buses run on compressed natural gas (CNG) to reduce pollution and to save on fuel costs. CNG which is mostly methane, is stored on the roofs of the buses in large tanks under high pressure. If the density of CH4 in a tank at 25°C is 165g. use (a) the van der Waals equation and (b) the ideal gas equation to calculate the methane gas pressure click to edt Number (a) van der Waals atm Tools (b) ideal gas law atin check Answer ? View Solutio O Hint 20 21 22 z 24 25"> Progress

Explanation / Answer

1.

(a)

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

The a value for methane = 2.300 bar L^2 /mol^2

In order to convert that to atm we multiply that with 0.986 .

Thus, a = 2.2678 atm L^2 / mol^2

The b value for methane = 0.04301 L/mol

Plugging in the values,

[P + (9.56)^2(2.2678) / (1)^2)] + [(1 - (9.56)(0.04301)] = (0.956)(0.0821)(298)

[P + (9.56)^2(2.2678) / (1)^2)] = 237.305

P = 30.04 atm

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(b) Ideal gas equation is PV = nRT

P = ?

V = 1 L

n = Mass / Molar mass = 153 / 16 = 9.56 mol

R = 0.0821 L atm / mol. K

T = 25 oC = 298 K

P = (9.56) (0.0821) (298) / (1) = 233.89 atm

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