To calibrate your calorimeter cup, you first put 45 ml of cold water in the cup, and measure its temperature to be 24.7 °c. you then pour 47 ml of hot water, temperature = 46.1 °c, into the cup and measure the temperature every thirty seconds over a 10 minute period. you extrapolate this "cooling curve" back to the time of addition and find that the "final temperature" after mixing is 33.4 °c. what is the heat change of the cold water in joules? give your answer in standard notation. do not input units.