Chapter 19, Problem 5P

You are working in your kitchen preparing lunch for your family. You have decided to make egg salad sandwiches and are boiling six eggs, each of mass 55.5 g, in 0.750 L of water at 100°C. You wish to take all the eggs out of the boiling water and immediately place them in 23.0°C water to cool them down to a comfortable temperature to hold them and peel them. You decide that you wish the mixture of the water and the eggs to reach an equilibrium temperature of 40.0°C. Explaining this to a family member, she challenges you to determine exactly how much water at 23.0°C you need to achieve your desired equilibrium temperature. Take the average specific heat of an egg over the expected temperature range to be 3.27 × 10³ J/kg · °C.