A 27 g pancake (61 Food Calories) is burned in a calorimeter that contains 500 g of water. How much does the temperature of the water increase if all of the energy from the pancake is transferred into the water?

You missed the specific heat on water, that is 1 calorie/gram °C. This answer is, 0.12°C

Explanation:

The stayment says, that all of the energy from the pancake is transferred into the water, so we have to think that 61 calories are burned in the calorimeter with water. Let's apply on the formula.

Heat added = specific heat x mass x (tfinal - tinitial)

61 cal = 500. g. 1 cal/g °C. ΔT

61 cal / 500 g / 1 cal/g °C = ΔT

0.12 °C = ΔT