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Question

Ethylene is produced by : C4H8 Δ 2C2H4The rate constant is 2.303×104sec1. In what time (in seconds), the molar ratio of the ethylene to cyclobutane in reaction mixture attain the value of 100. (log5.1=0.7)

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Solution

C4H8 Δ 2C2H4
Mole at t = 0 a 0
Mole at t = t a-x 2x

When 2xax=100, then x=100102a,t=2.3032.303×104log10aa100a102=104log51=104×(1+0.7)=17000 s

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