Please use the values in the resources listed below instead of the textbook values. Under certain conditions the decomposition of ammonia on a metal surface gives the following data.[NH3] (M) 2.0 ✕ 10−3 4.0 ✕ 10−3 6.0 ✕ 10−3 Rate (mol/L/h) 1.5 ✕ 10−6 1.5 ✕ 10−6 1.5 ✕ 10−6 Determine the rate equation for this reaction. (Rate expressions take the general form: rate = k . [A]a . [B]b.)

Respuesta :

Answer:

The rate equation for this reaction:

[tex]R=k[NH_3]^0[/tex]

Explanation:

Decomposition of ammonia:

[tex]2NH_3\rightarrow N_2+3H_2[/tex]

Rate law of the can be written as;

[tex]R=k[NH_3]^x[/tex]

1) Rate of the reaction , when [tex][NH_3]=2.0\times 10^{-3} M[/tex]

[tex]1.5\times 10^{-6} M/s=k[2.0\times 10^{-3} M]^x[/tex]..[1]

2) Rate of the reaction , when [tex][NH_3]=4.0\times 10^{-3} M[/tex]

[tex]1.5\times 10^{-6} M/s=k[4.0\times 10^{-3} M]^x[/tex]..[2]

[1] ÷ [2]

[tex]\frac{1.5\times 10^{-6}M/s}{1.5\times 10^{-6}M/s}=\frac{k[2.0\times 10^{-3}M]^x}{k[4.0\times 10^{-3}M]^x}[/tex]

On solving for x , we get ;

x = 0

The rate equation for this reaction:

[tex]R=k[NH_3]^0[/tex]

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