Answer:
24.76 kJ/g
844.8 kJ/mol
Explanation:
The heat produced by the burning of the solid magnesium is equal to the heat absorbed by the calorimeter, which causes its temperature to increase.
First, we calculate the heat absorbed by the calorimeter, where C is the heat capacity and Δt is the temperature change.
Q = CΔt = (3024 J·°C⁻¹)(1.126 °C) = 3405 J
This is the same amount of heat that was produced by burning the magnesium
Now we can calculate the heat produced per gram of magnesium:
(3405 J)(1 kJ/1000 J) / (0.1375 g) = 24.76 kJ/g
We can convert grams to moles using the atomic weight of Mg (24.305 g/mol).
(24.76 kJ/g)(24.305 g/mol) = 844.8 kJ/mol