The rate constant for this firstorder reaction is 00322 s1 a

The rate constant for this first-order reaction is 0.0322 s-1 at 300 °C. A products Calculate the mass of A remaining after 1.00 min if the initial mass of A is 16.21 g. Number Tools 102

Solution

Initial mass of A= 16.21 grams= N0

rate constant = k= 0.0322 s-1

for first order t1/2= 0.693/k=0.693/0.0322= 21.52 sec

total life period = 1.00 min= 60 sec

number of half-lives = total lifer period/half life period

total life period = 60/21.52 = 2.788

total life period = n= 2.788

remaining mass = N= ?

N= N0/2^n

N= 16.21/2^2.788

N= 2.3469

N= 2.347 grams

remaining amout = N= 2.347 grams.