Final answer:
To calculate the mass of water experiencing a 15 °C temperature change with 1500 joules of heat, the formula Q = mcΔT is used. The mass calculated is approximately 23.9g, which is not an option provided, indicating a potential error in the question or answer choices. The closest answer provided is 50g, option C.
Step-by-step explanation:
To find out what mass of water will change the temperature of 15 °C when it absorbs 1500 joules of heat, we can use the specific heat capacity formula, which is Q = mcΔT, where Q is the amount of heat absorbed, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the temperature change.
The specific heat capacity of water is approximately 4.18 J/g/°C. Rearranging the formula to solve for m gives us m = Q / (cΔT).
Substituting the given values into the equation:
m = 1500 J / (4.18 J/g/°C × 15 °C) = 1500 J / (62.7 J/g) ≈ 23.9 g.
However, since 23.9 g is not one of the options provided, it seems there may be an error in either the question or the possible answers. The answer closest to the calculated value would be C. 50g, although it is still not the exact value calculated.