4. The mechanism for a reaction is assumed to be: A + B - > P k=1.0 x10^5 1/M.s

Question

4. The mechanism for a reaction is assumed to be: A + B - > P k=1.0 x10^5 1/M.s at 27 degree C a) Calculate the initial rate of formation of P if 0.10 M A is mixed with 0.10 M B at 27 degree C. b) Calculate the initial rate of formation of P if 1.0 x 10^-4 M A is mixed with 1.0 x 10^-6 M B at 27 degree C. c) How long would it take (in seconds) to form 0.05 M product from 0.10 M A and 0.10 M B at 27 degree C? d) At 127 degree C, the rate constant of the reaction increases by a factor of 10^3. Calculate Ea.

Explanation / Answer

a) initial Rate = K[A][B]
   
                = 1.0*10^(-5)*0.1*0.1

          = 1*10^-7 M/S

b) initial Rate = 1.0*10^(-5)*10^(-4)*10^(-6)

                 = 1*10^-15 M/s

c) rate = +DP/Dt

1*10^-7 = 0.05/Dt

Dt = 0.05/(1*10^(-7)) 5.0*10^5 sec

d) log(k2/k1) = Ea/2.303R[1/T2-1/T1]

log(10^8/10^5) = (Ea/2.303*8.314)*(1/400-1/300)

Ea = 997 joule.

Ea = 0.997 kj

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