What total massof H2O and CO2will be produced when 1.000 mole ofCuCO3·Cu(OH)2is decomposed?
3 years ago
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8 months ago
To determine the total mass of H2O and CO2 produced when 1.000 mole of CuCO3·Cu(OH)2 decomposes, we need to calculate the molar masses and stoichiometry of the reactant and products involved.
The given compound CuCO3·Cu(OH)2 can be decomposed by heating it, resulting in the formation of CO2 and H2O:
CuCO3·Cu(OH)2 → CO2 + H2O
We need to find the molar masses of CuCO3·Cu(OH)2, CO2, and H2O to proceed with the calculation.
The molar mass of CuCO3·Cu(OH)2 can be calculated by summing the molar masses of its constituent elements:
CuCO3: 1(Cu) + 1(C) + 3(O) = 63.55 g/mol + 12.01 g/mol + 48.00 g/mol = 123.56 g/mol
Cu(OH)2: 1(Cu) + 2(O) + 2(H) = 63.55 g/mol + 32.00 g/mol + 2(1.01 g/mol) = 97.55 g/mol
CuCO3·Cu(OH)2: 123.56 g/mol + 97.55 g/mol = 221.11 g/mol
The molar mass of CO2 can be determined by summing the molar masses of carbon and oxygen:
CO2: 1(C) + 2(O) = 12.01 g/mol + 2(16.00 g/mol) = 44.01 g/mol
The molar mass of H2O is simply the sum of the molar masses of hydrogen and oxygen:
H2O: 2(1.01 g/mol) + 16.00 g/mol = 18.02 g/mol
Now, let's calculate the moles of each substance based on the stoichiometry of the reaction:
CuCO3·Cu(OH)2 → CO2 + H2O
1 mole 1 mole 1 mole
Since the stoichiometry is 1:1:1, the number of moles for each substance is equal.
So, when 1.000 mole of CuCO3·Cu(OH)2 decomposes:
- 1.000 mole of CO2 will be produced
- 1.000 mole of H2O will be produced
To find the total mass, we need to multiply the number of moles by their respective molar masses:
Mass of CO2 = 1.000 mole * 44.01 g/mol = 44.01 g
Mass of H2O = 1.000 mole * 18.02 g/mol = 18.02 g
Therefore, the total mass of H2O and CO2 produced when 1.000 mole of CuCO3·Cu(OH)2 decomposes is:
Mass of H2O + Mass of CO2 = 18.02 g + 44.01 g = 62.03 g
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7 months ago
To find the total mass of H2O and CO2 produced when 1.000 mole of CuCO3·Cu(OH)2 is decomposed, we need to understand the chemical reaction involved and the molar ratios between the reactants and products.
The decomposition of CuCO3·Cu(OH)2 can be represented by the following equation:
CuCO3·Cu(OH)2 → CuO + CO2 + H2O
From the equation, we can see that 1 mole of CuCO3·Cu(OH)2 will produce 1 mole of CuO, 1 mole of CO2, and 1 mole of H2O.
To calculate the molar mass of H2O and CO2, we can use the periodic table to find the atomic masses:
H2O = 2(1.008 g/mol) + 16.00 g/mol = 18.016 g/mol
CO2 = 12.01 g/mol + 2(16.00 g/mol) = 44.01 g/mol
Now, let's calculate the total mass of H2O and CO2 produced:
Mass of H2O = 1.000 mole × 18.016 g/mol = 18.016 g
Mass of CO2 = 1.000 mole × 44.01 g/mol = 44.01 g
Therefore, the total mass of H2O and CO2 produced when 1.000 mole of CuCO3·Cu(OH)2 is decomposed is 18.016 g + 44.01 g = 62.026 g.