Final answer:
The mass of the sample of water can be calculated using the formula q = mcΔT, where q is the heat absorbed, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature. Using the given data, the calculated mass is approximately 23.92 grams, which does not match any of the provided answer choices.
Step-by-step explanation:
To find the mass of the sample of water, we'll use the formula for heat absorption in a substance, which is q = mcΔT, where 'q' is the amount of heat absorbed, 'm' is the mass, 'c' is the specific heat capacity, and ΔT is the change in temperature. For water, the specific heat capacity 'c' is approximately 4.18 J/g°C. We're given q = 500 J and ΔT = 35°C - 30°C = 5°C.
Plugging in the values:
500 J = m * 4.18 J/g°C * 5°C
500 J = m * (4.18 J/g°C * 5°C)
m = 500 J / (4.18 J/g°C * 5°C)
m ≈ 500 J / 20.9 J/g°C
m ≈ 23.9231 g
Since none of the provided answer options match this result, it seems there might be an error within the question or the answer choices given. However, based on the calculation, the correct mass would be approximately 23.92 grams.