Gas Phase Reaction

$$k = \frac{2.303}{t} \cdot \log_{10}\left(\frac{P_{\text{initial}}}{2 \cdot P_{\text{initial}} - P_{\text{total}}}\right)$$

Concept: Evaluates the rate constant of a gas-phase first-order reaction ($$A(g) \to B(g) + C(g)$$) using initial and total pressures.

Notation:

• $$k$$ = Rate constant;
• $$t$$ = Time;
• $$P_{\text{initial}}$$ = Initial pressure of reactant gas;
• $$P_{\text{total}}$$ = Total pressure of the gas mixture at time $$t$$.