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View Available Hint(s) The reaction is second order. riodic Table cribes the nte

ID: 571985 • Letter: V

Question

View Available Hint(s) The reaction is second order. riodic Table cribes the ntegrated nthe or a simple Previous Answers Correct From the concentration-time plots we can determine the order of the reaction and also the rate constant (which is represented by the slope of the straight line). h Slope -k t-k Part B Given that the rate constant for the decomposition of hypothetical compound X from part A is 1.60 M-1.min-1, calculate the concentration of X after 16.0 min Express your answer with the appropriate units. View Available Hint(s) X Value Units Submit Previous Answers Incorrect; One attempt remaining: Try Again You determined in part A that this was a second order reaction. Start by finding the corresponding integrated rate law from the table given in the introduction. Next, substitute values into this equation and finally solve for [A] by rearranging the equation. X

Explanation / Answer

Inategrated rate law for second order is

1/[A]t = kt + 1/[A]0

where,

t = time, 16min

k = rate constant, 1.60M-1s-1

[A]t = Concentration at time t

[A]0 = Initial concentration, 0.467M

substituting the values

1/[A]t = 1.60M-1min-1×16.0min  + 1/0.467M

= 25.6M-1+ 2.141M-1

   = 27.74M-1

[A]t = 0.0360M

Therefore,

at 16 min concentration of X is 0.0360M