The rate constant expected at 37 °C when the rate constant for some reaction at 25 oc is 10 s-1, and if the arrhenius activation energy is 60 kj/mol is 5.39 s⁻¹
The Arrhenius equation can be used to calculate the rate constant of a reaction at a given temperature given the rate constant and activation energy at a reference temperature. The Arrhenius equation is given by:
k(T) = k(T₀) * e^(-Ea/RT)
Where k(T) is the rate constant at the desired temperature, k(T₀) is the rate constant at the reference temperature, Ea is the activation energy, R is the universal gas constant (8.314 J/molK) and T is the temperature in Kelvin.
To calculate the rate constant at 37 °C, we can plug in the values for k(T₀) and Ea:
k(37°C) = 10 s⁻¹ * e^(-(60 kJ/mol) / (8.314 J/molK * 310 K))
k(37°C) = 10 s⁻¹ * 0.539
k(37°C) = 5.39 s⁻¹
Therefore, the rate constant at 37 °C is 5.39 s⁻¹.
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