Answer:
2.01 J/g°C.
Step-by-step explanation:
To determine the specific heat of iron, we can use the formula:
q = m * c * ΔT
where:
q = heat energy absorbed or released
m = mass of the substance (in grams)
c = specific heat capacity of the substance (in J/g°C)
ΔT = change in temperature (in °C)
Given information:
Mass of iron (m) = 7.50g
Initial temperature (T1) = 27°C
Final temperature (T2) = 85°C
Heat energy (q) = 876.4J
We need to rearrange the formula to solve for the specific heat capacity (c):
c = q / (m * ΔT)
Now we can substitute the values into the formula:
c = 876.4J / (7.50g * (85°C - 27°C))
Simplifying the equation:
c = 876.4J / (7.50g * 58°C)
c ≈ 2.01 J/g°C
Therefore, the specific heat of iron is approximately 2.01 J/g°C.