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I need help on 3 -8.00 -9.00 -10.00 -11.00 041 x 10 K-i 2,90 3.00 3.10 3.20 3.30

ID: 1075383 • Letter: I

Question

I need help on 3

-8.00 -9.00 -10.00 -11.00 041 x 10 K-i 2,90 3.00 3.10 3.20 3.30 3.40x 10-3 3. For the first-order decomposition of H02 (aq), given k 3.66 x 10s and [H202Jo 0.882 M, determine (a) the LUT time at which [H 02]-0.600 M and (b) [H,01] after 225 s. 4 Using the data from problem # determine the temperature at which the rate constant for the decomposition of dinitrogen pentoxide is 1.0 x 1ds s 5. Di-tert-butyl peroxide (DTBP) is used as a catalyst in the manufacture of polymers. In the gaseous state, DTBP decomposes to acetone and ethane by a first-order reaction. (C,H9)203(g) 2(CH,),CO (g) C,H6(g) + The half-life of DTBP is 17.5' hr 'at 125 C and 1.67 hr at 145°C. What is the activation energy of this decomposition reaction?

Explanation / Answer

Ans 3

For first order reaction, from the integrated rate law

ln ([H2O2]/[H2O2]0) = - k x t

Part a

ln (0.6/0.882) = - 3.66*10^-3 x t

-0.385 = - 3.66*10^-3 x t

t = 105.26 s

Part b

t = 225 s

ln ([H2O2]/[H2O2]0) = - k x t

([H2O2]/[H2O2]0) = exp (- k x t)

[H2O2] = [H2O2]0 x exp (- k x t)

= 0.882 x exp (-3.66 x 10^-3 x 225 s)

= 0.882 x 0.4388

= 0.387 M

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