Carbon disulfide breaks down into carbon monosulfide and sulfur at 1000°C.

1) Write the chemical equation of this reaction.

2) Calculate the half-life of this reaction at 1000°C, knowing it is a first-order reaction and k = 2.8 x 10^-7 s^-1.

Question

Carbon disulfide breaks down into carbon monosulfide and sulfur at 1000°C.

1) Write the chemical equation of this reaction.

2) Calculate the half-life of this reaction at 1000°C, knowing it is a first-order reaction and k = 2.8 x 10^-7 s^-1.

| General Chemistry 2

Accepted Answer

1) CS₂ → CS + S

2) At t = t_1/2, [A] = [A]₀ / 2

⇒ ln $(\frac{{[A]}_{0}}{2 {[A]}_{0}})$ = - kt_1/2

⇒ t_1/2 =

\frac{\ln 2}{k}

=

\frac{\ln 2}{2.8 \times 10^{- 7}}

⇒ t_1/2 = 2.5 x 10⁶ s

First-order reactions - 1 | Chemical Kinetics: Rate Laws