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What is the relation between dHdtanddNHdtd[H2]dtandd[NH3]dt? -

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Question

What is the relation between `("d"["H"_2])/"dt" and ("d"["NH"_3])/"dt"`?

Options

  • `1/2 ("d"["NH"_3])/"dt" = ("d"["H"_2])/"dt"`

  • `("d"["NH"_3])/"dt" = 2/3 ("d"["H"_2])/"dt"`

  • `2/3 ("d"["NH"_3])/"dt" = ("d"["H"_2])/"dt"`

  • `("d"["NH"_3])/"dt" = ("d"["H"_2])/"dt"`

MCQ

Solution

`("d"["NH"_3])/"dt" = 2/3 ("d"["H"_2])/"dt"`

Explanation:

\[\ce{N2(g) + 3H2(g) <=> 2NH3(g)}\]

Rate expression can be written as,

`(- "d"["N"_2])/"dt" = (- 1)/3 ("d" ["H"_2])/"dt" = 1/2 ("d"["NH"_3])/"dt"`

`- 1/3 ("d"["H"_2])/"dt" = 1/2 ("d"["NH"_3])/"dt"`

`therefore ("d"["NH"_3])/"dt" = - 2/3 ("d"["H"_2])/"dt"`

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