At 700 K, CCl4 decomposes to carbon and chlorine. The Kp value for the decomposition is...

At 700 K, CCl4 decomposes to carbon and chlorine. The Kp value for the decomposition is 0.76. Find the starting pressure of CCl4 at this temperature that produces a total pressure of 1.7 atm at equilibrium.

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Expert Solution

CCl₄(g) C(s) + 2Cl₂(g)

Initial a 0

Equilibrium a-x 2x

Total pressure at equilibrium = a – x + 2x = a + x

Given, Total pressure at equilibrium = 1.7 atm

Therefore,

a = 1.7 – x

Kp = PCl₂²/PCCl₄

0.76 = (2x)²/(a-x) = 4x²/ (1.7 – 2x)

4x² + 1.52 x – 1.292 = 0

On solving,

x = 0.409

a + x = 1.7 atm

a = 1.7 atm - 0.409 atm = 1.291 atm

Starting pressure of CCl₄ = 1.291 atm

queen_honey_blossom answered 1 year ago

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