It takes about 3.0 minutes to cook a hard-boiled egg in Los Angeles, but at the higher altitude of Denver, where water boils at 92°C, the cooking time is 4.5 minutes. Use this information to estimate the activation energy for the coagulation of egg albumin protein (10 pts).

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Activation energy for the coagulation of egg albumin protein is= 57.368 KJmol-1 .AnswerGiven that ;The vate constant at Los Angeles is K_{1}=3.0 minutes.The rate constant at higher altitude of Denver is K_{2}=4.5 minutes.The water boiling temperature at hos Angels is T_{1}=100^{\circ} \mathrm{C}\begin{array}{l}=(180+273) K \\=373 K\end{array}The water boiling temperature at higher altitude of Denver is T_{2};\begin{aligned}T_{2} & =92^{\circ} \mathrm{C} \\& =(92+273) \mathrm{K} \\& =365 \mathrm{~K}\end{aligned}We have the equation for the activation energy ( E_{a} ) is;\begin{aligned}E_{a} & =\frac{R \ln \frac{K_{2}}{K_{1}}}{\frac{1}{T_{1}}-\frac{1}{T_{2}}} \\& R=8.314 \mathrm{~J} / \mathrm{mol}\end{aligned}\begin{aligned} E_{a} & =\frac{(8.314) * \ln \left(\frac{4.5}{3}\right)}{\frac{1}{365}-\frac{1}{373}} \\ & =57368.72 \mathrm{~J} \mathrm{~mol}^{-1} \\ & =57.368 \mathrm{KJ} \mathrm{mol}\end{aligned} ...