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Cloud [144]
3 years ago
15

Given that the initial rate constant is 0.0191 s-1 at an initial temperature of 24°C, what would the rate constant be at a tempe

rature of 120°C for a reaction with an activation energy of 43.4 kJ/mol?
Physics
1 answer:
wolverine [178]3 years ago
6 0

Explanation:

According to Arrhenius equation with change in temperature, the formula is as follows.

             ln \frac{K_{2}}{K_{1}} = \frac{-E_{a}}{R}[\frac{1}{T_{2}} - \frac{1}{T_{1}}]

Since, it is given that K_{1} is 0.0191 s^{-1}, T_{1} is 24 degree celsius equals 297 K, T_{2} is 120 degree celsius equals 393 K, and E_{a} is 43.4 kJ/mol or 43400 J/mol.

Therefore, putting the value in the above formula as follows.

               ln \frac{K_{2}}{K_{1}} = \frac{-43400 J/mol}{8.314 j/mol K}[\frac{1}{393} - \frac{1}{297}]

                ln \frac{K_{2}}{0.0191 s^{-1}} = \frac{-E_{a}}{R}[\frac{1}{T_{2}} - \frac{1}{T_{1}}]

                      K_{2} = 1.40 s^{-1}

Thus, we can conclude that rate constant be at a temperature of 120°C for a reaction with an activation energy of 43.4 kJ/mol is 1.40 s^{-1}.

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