The gas phase decomposition of dimethylether follows first order kinetics
CH₃—O—CH₃(g) —→ CH₄(g) + H₂(g) + CO(g)
The reaction is carried out in constant volume container at 500°C and has a half-life of 14.5 min. Initially only dimethylether is present. Find Z after 29 min.
(Z = vapour density of mixture × 10)

Question

The gas phase decomposition of dimethylether follows first order kinetics

CH₃—O—CH₃(g) —→ CH₄(g) + H₂(g) + CO(g)

The reaction is carried out in constant volume container at 500°C and has a half-life of 14.5 min. Initially only dimethylether is present. Find Z after 29 min.

(Z = vapour density of mixture × 10)

TestHub · Accepted Answer

C H 3 ​ OC H 3 ​ ( g ) ⟶ CH 4 ​ ( g ) + H 2 ​ ( g ) + CO ( g ) at t = 0 1 mol 000 at t = 29 min 0.25 mol0.75 mol0.75 mol0.75 mol Total number of moles = 1/4 + 3/4 + 3/4 + 3/4 = 2.5 V.D. = 2 M avg ​ ​ = 2 × 2.5 46 ​ = 9.2 Z = vapour density of mixture × 10 = 9.2 × 10 = 92

Chemistry - Chemical Kinetics Question with Solution | TestHub

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