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For the reaction 2X+Y+Zto X2 YZ, the rat...

For the reaction 2X+Y+Z`to X_2 YZ`, the rate equation is : Rate `=k [X] [Y]^2` with k `= 3.0 xx 10^(-6) mol^(-2) L^(2) s^(-)` If[X]=0.1 mol `L^(-)` ,[Y]=0.2 mol L-and [Z]=0.7 mol` L^(-)`, determine
the initial rate of reaction.

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The correct Answer is:
`12 xx 10^(-9) mol L^(-1) s^(-1)`
`r=k[X][Y]^2 and k= 3.0 xx 10^(-6) mol^(-2) L^2 s^(-1)`
Initial rate`=(3.0 xx 10^(-6) mol^(-2) L^2 s^(-) ) (0.1 mol L^(-1) ) ( 0.2 mol L^(-1) )^2 = 12 xx 10^(-9) mol L^(-1) s^(-1)`
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