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10. 0/4 Submissions Used -/0.09 points A mixture of 0.01270 mol of CH4, 0.01129 mol of H2S, 0.02016 mol of CS2, and 0.02436 m

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Answer #1

Step 1: Calculation of value of 'X' at equilibrium.

Given equilibrium reaction is

CH​​​​​4 +. 2H2S . <-------> . CS​​​​​2 + . 4H2

Initial moles . 0.01270 . 0.01129. 0.02016 . 0.02436

At equilibrium 0.0127-x. 0.01129-2x . 0.02016+X. 0.02436+4x

Given number of moles of H2S at equilibrium is 0.002399 moles

Therefore,

0.01129-2x = 0.002399

2x = 0.01129-0.002399

2x = 0.008891

X = 0.008891/2

X = 0.004455

Step 2: Calculation of number of moles of all the compounds at equilibrium.

1) Number of moles of CH​​​​​4 = 0.01270 - 0.004455

Number of moles of CH​​​​​4 = 0.008245 moles.

2) Number of moles of H2S = 0.002399 moles.

3) Number of moles of CS​​​​​2 = 0.02016+0.004455

Number of moles of CS​​​​​2 = 0.024615 moles.

4) Number of moles of H2 = 0.02436 +4(0.004455)

Number of moles of H​​​​​​2 = 0.04218 moles.

Total number of moles = 0.008245+0.002399+0.024615+0.04218

Total number of moles = 0.077439 moles.

Step 3: Calculation of total pressure.

According to Ideal gas equation

PV = nRT

P = nRT/V

P = 0.077439 moles X 0.0821L.atm/k.mol X 3625k/1L

P = 23.04 atm.

Step 4 : Calculation of partial pressure

Partial pressure of any gas = it's Mole fraction X Total pressure.

1) Partial pressure of CH​​​​​4 = 0.008245/0.077439 X 23.04 atm

Partial pressure of CH​​​​​4 = 2.453 atm.

2) Partial pressure of H2S = 0.002399/0.077439 X 23.04 atm.

Partial pressure of H2S = 0.7137 atm.

3) Partial pressure of CS​​​​​2 = 0.024615/0.077439 X 23.04 atm

Partial pressure of CS​​​​​2 = 7.3235 atm.

4) Partial pressure of H​​​​​​2 = 0.04218/0.077439 X 23.04 atm.

Partial pressure of H​​​​​​2 = 12.549 atm.

b) calculation of K​​​​​​p for the reaction

K​​​​​​P = P​​​​​​cs2 X P​​​​4 H2 / P​​2 H2S X P CH4.

After substituting the calculated partial pressures, the value of KP will be,

Kp = 1.454 X 105.

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