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Step 1 “ Popcorn kernels pop unimolecularly …”. The dreaded “popcorn” problem … This is a 2 step problem. = first-order reaction ln ( A) - ln (A 0 ) = - k t. determine k first.
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Step 1 • “Popcorn kernels pop unimolecularly…” • The dreaded “popcorn” problem… • This is a 2 step problem = first-order reaction ln(A) -ln(A0) = -kt determine k first • 29 kernels pop in 10 seconds when 400 total kernels are present. After 100 have popped, how many will pop over the next 10 seconds? • 29 kernels pop in 10 seconds when 400 total kernels are present.After 100 have popped, how many will pop over the next 10 seconds? • A0 = 400(initial number of kernels) • t = 10 sec • A = 371 (number of kernels at time t) • k = 0.00753 sec-1
Step 2 • Start over with a new initial condition • 1st ORDER: ln(A) -ln(A0) = -kt • and k = 0.00753 sec-1 • After 100 have popped, how many will pop over the next 10 seconds? • A0 = 300(initial number of kernels) • t = 10 sec • k = 0.00753 sec-1 • Answer: 300-278.25 = 22.75