A-level Chemistry/OCR (Salters)/Kinetics

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

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

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

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

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

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

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

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

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

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

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

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

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

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