In its solution in solvents such as cyclohexane, cis-stilbene undergoes a reacti

Question

In its solution in solvents such as cyclohexane, cis-stilbene undergoes a reaction to form transtilbene (a hydrocarbon compound with a similar molecular formula but a different geometric structure). At a temperature of 300 K, the equilibrium constant of the reaction cis-stilbene doubleheadarrow trans-stilbene is 500. A solution containing 0.040 M of cis-stilbene (and, initially, no trans-stilbene) in cyclohexane is allowed to stand at a temperature of 300 K until the cis-trans equilibrium is reached. The final equilibrium concentration of cis-stilbene is: 0.000080 M 0.0020 M 0.00080 M 0.0016 M 0.0200 M 0.0380 M 0.03920 M 0.03992 M None of the above; the correct equilibrium concentration of cis-stilbene is_______________M

Explanation / Answer

let x= drop in concentration cis form

So at equilibrium, Cis= 0.04-x and trans= x

Equilibrium constant = x/(0.04-x)= 500

x = 500*(0.04-x)

501x= 500*0.04

x= 0.03992

final concentration of Cis= 0.04-0.03992 = 0.00008M ( A is correct)

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