Answer:

Explanation:
This scenario is unrealistic since Al(OH)₃ is not soluble in water.
The question consists of two parts:
A. Stoichiometry — where we determine volumes, masses, and moles for the products
B. Calorimetry — where we assess the enthalpy of the reaction.
A. Stoichiometry
1. Determine the volume of Al(OH)₃
(a) The balanced chemical equation:
2Al(OH)₃ + 3H₂SO₄ ⟶ Al₂(SO₄)₃ + 6H₂O
M/V: 66.667
c/mol·L⁻¹: 4.000 3.000
(b) Moles of H₂SO₄

(c) Moles of Al(OH)₃
The molar ratio stands at 2 mmol Al(OH)₃: 3 mmol H₂SO₄

(d) Volume of Al(OH)₃

B. Calorimetry
This reaction has two energy exchanges.
q₁ = heat from the reaction
q₂ = heat used to heat the calorimeter
q₁ + q₂ = 0
nΔH + mCΔT = 0
Data:
Moles of Al₂(SO₄)₃ = 0.066 667 mol
C = 1.10 J°C⁻¹g⁻¹
T_initial = 22.3 °C
T_final = 24.7 °C
Calculations
(a) Mass of solution
Assume solutions are as dense as water (though not realistic).
Mass of sulfuric acid solution = 66.667 g
Mass of aluminium hydroxide solution = 50.000
TOTAL = 116.667 g
(b) ΔT
ΔT = T_final - T_initial = 24.7 °C - 22.3 °C = 2.4°C
(c) ΔH


This result appears nonsensical, but it is derived from your given figures.