# Problem: For the reaction 2A + B → C, the initial rate was measured at several different reactant concentrations. From the resulting tabulated data, determine the rate law for the reaction. [A] (M)  [B] (M) Initial Rate (M/s)0.050.050.0350.100.050.0700.200.100.56

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###### FREE Expert Solution

order, x with respect to A.

•  Use values where A changes while B remains the same.

Solve for x:

x = order

(Larger concentration should be on the numerator)

$\frac{\mathbf{0}\mathbf{.}\mathbf{07}}{\mathbf{0}\mathbf{.}\mathbf{035}}\mathbf{=}\frac{{\left[\mathbf{0}\mathbf{.}\mathbf{10}\right]}^{\mathbf{x}}}{{\left[\mathbf{0}\mathbf{.}\mathbf{05}\right]}^{\mathbf{x}}}\phantom{\rule{0ex}{0ex}}\mathbf{2}\mathbf{=}{\mathbf{2}}^{\mathbf{x}}$

**21 = 2

x = 1 → 1st order with respect to A

###### Problem Details

For the reaction 2A + B → C, the initial rate was measured at several different reactant concentrations. From the resulting tabulated data, determine the rate law for the reaction.

 [A] (M) [B] (M) Initial Rate (M/s) 0.05 0.05 0.035 0.10 0.05 0.070 0.20 0.10 0.56