Question

Given that e a for a certain biological reaction is 48,000 j/mol and that the rate constant is 2.5 × 10 –2 s –1 at 15°c, what is the rate constant at 37°c? use the arrhenius formula

Answer 1

The rate constant at 37°C can be calculated using the Arrhenius equation, given the activation energy and the rate constant at 15°C, after determining the frequency factor. Temperature must be converted to Kelvin before applying the formula.

Step-by-step explanation:

To calculate the rate constant at 37°C using the Arrhenius equation, we need to use the given activation energy and the rate constants at 15°C. The Arrhenius equation is as follows:

k = Ae-Ea/RT

Where k is the rate constant, A is the frequency factor, Ea is the activation energy, R is the gas constant (8.314 J/mol·K), and T is the temperature in Kelvin.

First, we convert the temperatures to Kelvin:
15°C = 288.15 K
37°C = 310.15 K

Next, we use the given rate constant at 15°C to solve for the frequency factor A by rearranging the Arrhenius equation:

A = k × eEa/RT

Then we substitute the known values to get A. With the frequency factor known, we apply the Arrhenius equation again to find the rate constant k at 37°C.