The decomposition of carbon disulfide, CS2, to carbon monosulfide, CS, and sulfur is first order with k = 2.8 x 10-7 s-1 at 1000oC.

The given question is incomplete. The complete question is:

The decomposition of carbon disulfide, , to carbon monosulfide, CS, and sulfur is first order with k = at 1000oC.

What is the half-life of this reaction at 1000oC?

The half-life of this reaction at 1000oC is 2400000s.

Explanation:

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

where,

k = rate constant  

t = age of sample

a = let initial amount of the reactant  

a - x = amount left after decay process  

for completion of half life:

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

The half-life of this reaction at 1000oC is 2400000s.