Question

Determine the specific rate constant and half-life of an unknown compound if 17.0% of the compound decomposes in 1.50 x 10 minutes via a first-order process; A → B. The unit of time here is the minute The specific rate constant followed by its units is - The half-life with units of the compound is -

Answer 1

ALA of 171 compound decomposes, then 83 1. is remaind so initially Ao: 100% A = 0 at t = 0 where Ao = Initial conch of compound A conch at time it fremaining conch} At time t = 1.50X 10² minutes A= 83% of Ao le 0-83 Ao -RE For first order A= Ao e no R: rate const (min) it time (minutes) 0.83A: A-kx7.5x100 0.83 Ao = è 150R Ao 0.83 : +-150k en(0.83) = -150k -0.186 - 150k k = 0.00124 - 1.248 10 minutes Half life when 50% of compound decomposes or so% of compound is remained le A = 50% of Ao de 50 Ao = 0.5 Ao 100 0.5 Ao = Ao ekty 0.5 Ao = ekty Еј, : Нац Ao 0.5= pkty In (0.5) = - kt / -0.693 = -124x10 x ty ty: 0.693 558.98 minutes 1.24x10² 59.99