The decomposition of N_2O_5(g) following 1st order kinetics. N_2O_5(g) to N_2O_4(g) + ½ O_2(g) If 2.56 mg of N_2O_5 is initially present in a container and 2.50 mg remains after 4.26 min, what is the rate constant in 1/s?

The rate constant is

Explanation ;

Expression for rate law for first order kinetics is given by:

where,

k = rate constant  = ?

t = age of sample  = 4.26 min

a =  initial amount of the reactant  = 2.56 mg

a - x = amount left after decay process  = 2.50 mg

Now put all the given values in above equation to calculate the rate constant ,we get

Thus rate constant is [tex]0.334s^{-1}

i believe it is c.) 1575 j.