The question is based on the Thermodynamic principle of Specific Heat Capacity. Now, Specific Heat Capacity refers to the amount of heat needed per unit mass t raise the temperature by one degree Celsius
The formula that can be used to find the answer is the following:
Q = C · m · ΔT ( where Q is the heat added/required; C is the specific heat capacity [4.186 joule/gram °C]; ΔT is the change in temperature)
Based on the question, what needs to be found is Q, and what is known is that C = 4.186 J/g °C; m = 15 g; ΔT = 10 °C
so, Q = C · m · ΔT
Q = (4.186 J/g °C) (15 g) (10 °C)
Q = 627.9 J
Thus, the number of joules required to raise the temperature of 15.0 grams of water by 10 degrees Celsius is 627.9 J
