In this question, we have a situation in which we have to use the Calorimetry formula, which is how much heat was released or absorbed (in Joules), after we had a change in temperature of a compound. The formula for this Calorimetry question is:
Q = mcΔT
Where:
Q = is energy as Heat, 9,819 J
m = mass in grams, this is what we want to find
c = is the specific heat capacity, 4.184
ΔT = the change in temperature, calculated as Final Temperature - Initial T, 29 - 15 = 14°C
Now we add these values into the formula:
9819 = m * 4.184 * 14
9819 = 58.576m
m = 9819/58.576
m = 167.6 grams of Water