Question

For the elementary reaction, \[\ce{3H2_{(g)} + N2_{(g)} -> 2NH3_{(g)}}\] identify the correct relation among the following relations.

Options

• `(-3)/2 ("d"["H"_(2("g"))])/"dt" = ("d"["NH"_(3 ("g"))])/"dt"`

• `(-2)/3 ("d"["H"_(2("g"))])/"dt" = ("d"["NH"_(3 ("g"))])/"dt"`

• `("d"["NH"_(3("g"))])/"dt" = (-1)/3 ("d"["H"_(2("g"))])/"dt"`

• `(-"d"["H"_(2("g"))])/"dt" = ("d"["NH"_(3 ("g"))])/"dt"`

Answer 1

`(-2)/3 ("d"["H"_(2("g"))])/"dt" = ("d"["NH"_(3 ("g"))])/"dt"`

Explanation:

For elementary reaction,

\[\ce{3H2_{(g)} + N2_{(g)} -> 2NH3_{(g)}}\] 

Rate of reaction = `(- 1)/3 ("d"["H"_2])/"dt" = (- "d" "N"_(2("g")))/"dt"`

`= 1/2 ("NH"_(3("g")))/"dt"`

From the given 2nd options is correct.

`(-2)/3 ("d"["H"_(2("g"))])/"dt" = ("d"["NH"_(3 ("g"))])/"dt"`