HardChemistryHigh School (11–12)Chemical KineticsNumerical

A student plots log₁₀(rate) against log₁₀[A] for several runs of a reaction in which only [A]…

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A student plots $\log_{10}(\text{rate})$ against $\log_{10}[\text{A}]$ for several runs of a reaction in which only $[\text{A}]$ changes. The rate is in $\text{mol L}^{-1}\ \text{s}^{-1}$ and $[\text{A}]$ is in $\text{mol/L}$ . The points lie on a straight line through $(-2.00, -5.30)$ and $(-1.40, -4.10)$ . Find the order in A and the rate constant.

Need a reminder? The key ideaShow

The rate law is $\text{rate} = k[\text{A}]^x[\text{B}]^y$ , and the orders come from experiment. When only $[\text{A}]$ changes by a factor $f$ , the rate changes by $f^x$ . For overall order $n$ , the unit of $k$ is $\text{L}^{n-1}\ \text{mol}^{1-n}\ \text{s}^{-1}$ .

The worked solution

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