Calcium hydroxide reacts with carbon dioxide to form calcium carbonate. The reaction for this process is:Ca(OH)2(s) + CO2(g) → CaCO3(s) + H2O(g), ΔH = -69.1 kJWhat is the enthalpy change if 380 g of calcium carbonate is formed?
Question
Calcium hydroxide reacts with carbon dioxide to form calcium carbonate. The reaction for this process is:Ca(OH)2(s) + CO2(g) → CaCO3(s) + H2O(g), ΔH = -69.1 kJWhat is the enthalpy change if 380 g of calcium carbonate is formed?
Solution
The enthalpy change for the reaction can be calculated using the stoichiometry of the reaction and the molar mass of calcium carbonate (CaCO3).
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First, we need to find the molar mass of CaCO3. The molar mass of Ca is approximately 40.08 g/mol, C is 12.01 g/mol, and O is 16.00 g/mol. Therefore, the molar mass of CaCO3 is 40.08 g/mol + 12.01 g/mol + (3*16.00 g/mol) = 100.09 g/mol.
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Next, we need to find the number of moles of CaCO3 formed. This can be found by dividing the mass of CaCO3 formed by its molar mass. So, 380 g ÷ 100.09 g/mol = 3.79 moles of CaCO3.
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The enthalpy change given in the problem is for the formation of 1 mole of CaCO3. Therefore, the enthalpy change for the formation of 3.79 moles of CaCO3 is -69.1 kJ/mol * 3.79 mol = -261.7 kJ.
So, the enthalpy change for the formation of 380 g of CaCO3 is -261.7 kJ.
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