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Multiple Choice
The decomposition of XY is second order in XY and has a rate constant of 7.02 x 10^-3 M^-1 s^-1 at a certain temperature. How long will it take for the concentration of XY to decrease to 12.5% of its initial concentration when the initial concentration is 0.80 M?
A
128 seconds
B
256 seconds
C
512 seconds
D
1024 seconds
Verified step by step guidance
1
Identify that the reaction is second order with respect to XY, which means the rate law is given by: .
Use the integrated rate law for a second-order reaction: , where is the concentration at time .
Determine the final concentration of XY, which is 12.5% of the initial concentration. Calculate this as: .
Substitute the known values into the integrated rate law: .
Solve for to find the time it takes for the concentration to decrease to 12.5% of its initial value.