The hydrolysis of 1-chloro-1-methyl cylcoheptane in 80% ethanol follows a first order rate equation. The values...

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The hydrolysis of 1-chloro-1-methyl cylcoheptane in 80% ethanolfollows a first order rate equation. The values of the specificreaction rate constants are:
temp/C 0 25 35 45
k/s^-1 1.06x10^-5 3.19x10^-4 9.86x10^-4 2.92x10^-3
1. Plot Ln(k) against 1/T
2. Calculate the activation energy
3. Calculate the pre-exponential factor

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4.3 Ratings (863 Votes)

KÂ Â Â = A e^-Ea/RT

lnKÂ Â = lnK-Ea/RT

lnK = -Ea/RT +lnK

YÂ Â Â = mx+C

Plot Ln(k) against 1/T. A straight line does not passed through origine.Negative slope⁴

logk2/K1Â Â =Â Â Ea/2.303R [1/T1 --1/T2]

log3.19*10^-4/1.06*10^-5Â Â = Ea/2.303*8.314 [1/273 - 1/298]

1.4784*19.147 Â Â Â Â Â Â Â Â Â Â Â Â Â Â = Ea*(0.00366-0.003355)

Â Â EaÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â = 28.306/0.000305Â Â = 92806.55JoulesÂ Â = 92.80655KJ

3.KÂ Â = Ae^-Ea/RT

1.06*10^-5Â Â Â = A e^-92806.55/8.314*273

1.06*10^-5Â Â Â Â Â Â = Ae-40.88

1.06*10^-5Â Â Â Â Â Â Â = A*1.76*10^-18

Â Â Â Â Â Â Â Â Â Â Â AÂ Â Â Â Â Â Â Â Â = 1.06*10^-5/1.76*10^-18Â Â Â = 6.02*10¹² htz

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The hydrolysis of 1-chloro-1-methyl cylcoheptane in 80% ethanol follows a first order rate equation. The values...

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