: Science disciplines are interconnected, and math is a common language. Learning math in the context of chemistry highlights these connections and demonstrates the utility of math in explaining and predicting scientific phenomena.
For a first-order reaction: [ \fracd[A]dt = -k[A] \quad \Rightarrow \quad \int_[A]_0^[A]_t \fracd[A][A] = -k \int_0^t dt \quad \Rightarrow \quad \ln\frac[A]_t[A]_0 = -kt ] Introduction to Contextual Maths in Chemistry .pdf
| Chemical context | Linear form | Slope | Intercept | |----------------|-------------|-------|------------| | 1st order kinetics | ( \ln[A]_t = -kt + \ln[A]_0 ) | ( -k ) | ( \ln[A]_0 ) | | Arrhenius plot | ( \ln k = -\fracE_aR\cdot\frac1T + \ln A ) | ( -E_a/R ) | ( \ln A ) | | Beer-Lambert law | ( A = \varepsilon c l ) | ( \varepsilon l ) | 0 | : Science disciplines are interconnected, and math is