Chemical KineticsmediumMCQ SINGLE

For a standard first order reaction, a plot of versus time invariably yields a straight line. What iChemical Kinetics Chemistry Question

Question

For a standard first order reaction, a plot of $\log(a-x)$ versus time $t$ invariably yields a straight line. What is the theoretical slope of this straight line?

Answer: B

💡 Solution & Explanation

The integrated rate equation for a first-order reaction is $k = (2.303 / t) \log(a / (a-x))$. Rearranging this yields $\log(a-x) = (-k / 2.303)t + \log(a)$. This is the equation of a straight line $y = mx + c$, where the slope $m$ is $-k / 2.303$.

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