A chemical reaction features a fixed Temperature Coefficient () precisely equal to . If the internal — Chemical Kinetics Chemistry Question
Question
A chemical reaction features a fixed Temperature Coefficient ($\mu$) precisely equal to $2$. If the internal temperature of the reactor is rapidly elevated from $20^\circ \text{C}$ to $70^\circ \text{C}$, by what exact integer multiplier will the absolute overall rate of the reaction increase?
💡 Solution & Explanation
The temperature coefficient ($\mu$) dictates the rate multiplier for every clean $10^\circ \text{C}$ temperature jump. A shift from $20^\circ$ to $70^\circ$ encompasses exactly five distinct $10^\circ$ jumps ($\Delta T = 50$). Thus, the overall compounded rate multiplier is exactly $\mu^5 = 2^5 = 32$.