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Manteringchemistry Post Lecture Homework Chapter Secure https/session masteringc

ID: 534807 • Letter: M

Question

Manteringchemistry Post Lecture Homework Chapter Secure https/session masteringchemistrycom/myct/itemview? assignment Problem CHM 2046C Lechute HomewgrkChaglet 14 t Integrated Rate Laws Integrated Rate Laws The integrated rate lawis an equation that describes the concentration of a reactant over time (t) The integrated rate What is the order of the reaction? law comes in different forms depending on the reaction The rate laws below are given for a simple generalreaction The reaction is second order A- products Onder Integrated rate law Unea graph Slope Correct From the concentration-time plots we can determine the order of the reaction and also the fate constant (which is represented by the slope of the line) vs. t Part B Given that the rate constant for the decomposition of hypothetical compound Xfrom pat Ais 160 M calculate the concennaton al X after 20.0 min Express your answer with the appropriate units. Value Units Hints My Answers Give Up Review Part TOSHIBA

Explanation / Answer

Ans. The decomposition of X follows second order kinetics (unit = M-1 min-1 – the dimension of unit is of second order).

Using second order kinetics-

            1/ [A] = kt + (1/ [A]0)          

                                    Where, [A]0 = Initial concentration of X

                                                [A] = Final concentration of X after time t

                                                k = rate constant for decomposition of X

                                                t = time of reaction.

Putting the values in above equation-

            1/ [A] = (1.60 M-1 min-1 x 20 min) + (1/ [A]0)

            Or, 1/ [A] = 32 M-1 + (1/ [A]0)

            Or, [A] = 1 / [32 M-1 + (1/ [A]0)]

Therefore, [A] = 1 / [32 M-1 + (1/ [A]0)]

Put the value of [A]0 given to you to get the exact value of [A] after 20 minutes.

The unit of X will be (1 / M-1) = M (molar)

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