The decomposition of carbon disulfide, $\left(\mathrm{CS}_2\right)$, to carbonmonosulfide (CS), and

Question

The decomposition of carbon disulfide, $\left(\mathrm{CS}_2ight)$, to carbonmonosulfide (CS), and sulfur is first order with $k=2.8 	imes 10^{-7} \mathrm{~s}^{-1}$ at $1000^{\circ} \mathrm{C}$ \ $\mathrm{CS}_2 ightarrow \mathrm{CS}+\mathrm{S}$ The half-life of this reaction at $1000^{\circ} \mathrm{C}$ is

Professor PC Thomas Classes · Answer

For a first-order reaction, $t_{1/2} = \frac{0.693}{k} = \frac{0.693}{2.8 	imes 10^{-7}} \approx 2.5 	imes 10^6 	ext{ s}$.