A-level Chemistry/OCR (Salters)/Kinetics

Rate equations

$\mbox{rate} = k[A]^m[B]^n \,\!$

$\mbox{order of reaction} = m + n \,\!$

$k = Ae^{-\frac{E_a}{RT}}$

$\ln{(k)} = \ln{ \left ( Ae^{-\frac{E_a}{RT}} \right ) }$

$\ln{(k)} = \ln{(A)} + \ln{ \left ( e^{-\frac{E_a}{RT}} \right ) }$

$\ln{(k)} = \ln{(A)} + -\frac{E_a}{RT}$

$\ln{(k)} = \ln{(A)} - \frac{E_a}{RT}$

$\ln{(k)} = - \frac{E_a}{RT} + \ln{(A)}$

$\ln{(k)} = - \frac{E_a}{R} \frac{1}{T} + \ln{(A)}$

$\mbox{straight-line graphs are always of the form } y = mx + c \,\!$

$\mbox{therefore, the dependent variable } y \mbox{ is } \ln{(k)} \,\!$

$\mbox{the gradient } m \mbox{ is } - \frac{E_a}{R} \,\!$

$\mbox{the independent variable } x \mbox{ is } \frac{1}{T} \,\!$

$\mbox{the y-intercept } c \mbox{ is } \ln{(A)} \,\!$

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