To find the mass of the aluminum sample, we can use the formula:
Q = mcΔT
Where: Q = Heat energy (in Joules) m = Mass of the sample (in grams) c = Specific heat of aluminum (in J/g°C) ΔT = Change in temperature (in °C)
Rearranging the formula, we have:
m = Q / (c * ΔT)
Plugging in the given values:
Q = 259 J c = 0.903 J/g°C ΔT = 22.9 °C
m = 259 J / (0.903 J/g°C * 22.9 °C)
m ≈ 12.07 g
Therefore, the mass of the aluminum sample is approximately 12.07 grams.