Sure! To calculate the enthalpy (ΔH) for the reaction, we can use the equation:
ΔH = q / n
Where:
- ΔH is the enthalpy change
- q is the heat transferred during the reaction
- n is the number of moles of the limiting reactant
First, let's calculate the heat transferred (q) during the reaction. We can use the equation:
q = m * c * ΔT
Where:
- q is the heat transferred
- m is the mass of the solution (in grams)
- c is the specific heat capacity of the solution (assumed to be 4.18 J/g°C)
- ΔT is the change in temperature (final temperature - initial temperature)
Given:
- Mass of magnesium (m) = 21.00 g
- Specific heat capacity of the solution (c) = 4.18 J/g°C
- Change in temperature (ΔT) = 23.9°C - 21.4°C
Now, let's calculate the number of moles of the limiting reactant (n). Since magnesium (Mg) is the limiting reactant in this case, we can use its molar mass:
Molar mass of Mg = 24.31 g/mol
Number of moles of Mg = Mass of Mg / Molar mass of Mg
Finally, we can substitute the values into the equation to calculate the enthalpy change (ΔH).
I hope this helps! Let me know if you have any other questions or need further assistance with the calculations.