Egg protein albumin is precipitated when an egg is cooked in boiling (100°C) water. The activation energy for this reaction is 52 kJ/mol. Estimate the time needed to prepare a 3-minute egg at an altitude at which water boils at 90°C (that is, an egg that is cooked as thoroughly as it would have been after 3 minutes of cooking at 100°C). Assume the reaction is first order in egg (or albumin). Hint: begin by writing out both the first-order integrated rate law and the Arrhenius equation. Consider how time will change if the rate constant is changing with temperature.