Gaseous cyclobutene undergoes a first-order reaction to form gaseous butadiene. at a particular temperature, the partial pressure of cyclobutene in the reaction vessel drops to one-eighth its original value in 124 seconds. what is the half-life for this reaction at this temperature?

Answer : The half-life of this reaction at this temperature is, 41.5 seconds.

Explanation :

First we have to calculate the rate constant.

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

where,

k = rate constant  = ?

t = time passed by the sample  = 124 s

a = let initial amount of the reactant  = X

a - x = amount left after decay process =

Now put all the given values in above equation, we get

Now we have to calculate the half-life.

Therefore, the half-life of this reaction at this temperature is, 41.5 seconds.