#39 A first-order reaction is 38. 5% complete in 480. s. a

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#39 A first-order reaction is 38. 5% complete in 480. s. a #39 A first-order reaction is 38.5% complete in 480. s. a. Calculate the rate constant. b. What is the value of the half-life? c. How long will it take for the reaction to go to 25%, 75%, and 95% completion?

a. Ln[A]= -Kt +Ln[A]o Ln[61. 5]= -K(480) + Ln[100] Ln[ a. Ln[A]= -Kt +Ln[A]o Ln[61.5]= -K(480) + Ln[100] Ln[.615]= -K(480) K=0.00101

b. Ln[1/2]=-Kt +Ln[A]0 Ln[50]= (-0.00101)t + Ln[100] t=686 s

c. Ln[A]= -Kt +Ln[A]o Ln[75]= (-0 c. Ln[A]= -Kt +Ln[A]o Ln[75]= (-0.00101)t + Ln[100] t= 280 s Ln[25]= (-0.00101)t + Ln[100] t= 1400 s Ln[5]= (-0.00101)t + Ln[100] t= 3000 s