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Variation of the rate constant k with temperature is described by which equation?(a) Arrhenius equation(b) Monod equation(c) Kirchoff’s equation(d) Newton’s second law of thermodynamicsThis question was addressed to me by my school teacher while I was bunking the class.The query is from Basic Reaction Theory in portion Homogenous Reactions of Bioprocess Engineering

Answer»

Right choice is (a) ARRHENIUS equation

Explanation: Temperature has a significant kinetic effect on reactions. Variation of the RATE constant k with temperature is described by the Arrhenius equation:

k = A e^-E/RT

Where, k is the rate constant, A is the Arrhenius constant or frequency factor, E is the activation energy for the REACTION, R is the ideal gas constant, and T is absolute temperature. According to the Arrhenius equation, as T increases, k increases exponentially.

Taking the natural LOGARITHM of both sides of equation:

Thus, a plot of ln k versus 1/T gives a straight line with slope -E/R . For many reactions the value of E is positive and large, indicating a rapid increase in reaction rate with temperature.



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