In Part A, you determined that the heat added to the coffee is what you got. If it takes 4.2 J of energy to raise the temperature of 1.0 mL of coffee by 1.0∘C, then it should take twice as much energy to raise the temperature of 2.0 mL of coffee by 1.0∘C, or to raise the temperature of 1.0 mL of coffee by 2.0∘C. Multiply carefully to find the total amount of energy needed to raise the temperature of 200 mL of coffee by the required number of degrees.
We are given with 4.2 joules or energy and the raise of temperature is 1 degree celsius per 1 ml. Hence, the specific heat of 4.2 / ml degrees. This is consistent with the second conditions. The amount of energy needed to raise the temperature by 1 degree for 200 ml coffee is 4.2 J * 200 or 840 Joules.
