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The rate of decomposition of NH3 on plat...

The rate of decomposition of `NH_3` on platinum surface, `2NH_(3) (g) overset(Pt) (to) N_(2) (g) + 3H_(2) (g)` is rate `=k` order with `k = 2.5 xx 10^(-4)" mol L"^(-1)" s"^(-1)`. What are the rates of production of `N_2 and H_2`?

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`2NH_(3) (g) to N_(2) (g) + 3H_(2) (g)`
Given, rate `=k`
`therefore` Rate `= -(1)/(2) (d [NH_3])/(dt) = + (d[N_2])/(dt)`
`= + (1)/(3) (d [H_2])/(dt) = 2.5 xx 10^(-4)" mol L"^(-1)" s"^(-1)`
`therefore` Rate of production of `N_2`
`= (d[N_2])/(dt) = 2.5 xx 10^(-4)" mol L"^(-1)" s"^(-1)`.
Rate of production of `H_2`
`= (1)/(3) (d[H_2])/(dt) = 2.5 xx 10^(-4)" mol L"^(-1)" s"^(-1)`
`= ( d[H_2])/(dt) = 7.5 xx 10^(-4)" mol L"^(-1)" s"^(-1)`
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