This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
ScanSolve AI Answer
Noh, let's knock this out. Step 1: Determine the molar masses of copper carbonate (CuCO_3) and copper (Cu). We'll use the following relative atomic masses (A_r): Cu = 63.5, C = 12.0, O = 16.0. Molar mass of copper carbonate (CuCO_3): M(CuCO_3) = A_r(Cu) + A_r(C) + (3 × A_r(O)) M(CuCO_3) = 63.5 + 12.0 + (3 × 16.0) = 63.5 + 12.0 + 48.0 = 123.5 g/mol Molar mass of copper (Cu): M(Cu) = A_r(Cu) = 63.5 g/mol Step 2: Calculate the moles of copper carbonate. Given mass of copper carbonate = 5.0 tonnes. Since 1 tonne = 10^6 g, we have 5.0 × 10^6 g. Moles of CuCO_3 = Mass of CuCO_3Molar mass of CuCO_3 Moles of CuCO_3 = 5.0 × 10^6 g123.5 g/mol Step 3: Use the mole ratio from the balanced equation to find the moles of copper produced. The balanced equation is 2CuCO_3 + C → 2Cu + 3CO_2. From the equation, 2 moles of CuCO_3 produce 2 moles of Cu. This means the mole ratio is 1:1. Therefore, moles of Cu produced = moles of CuCO_3. Moles of Cu = (5.0 × 10^6)/(123.5) mol Step 4: Calculate the mass of copper. Mass of Cu = Moles of Cu × Molar mass of Cu Mass of Cu = ((5.0 × 10^6)/(123.5) mol) × (63.5 g/mol) Mass of Cu = (5.0 × 10^6 × 63.5)/(123.5) g Mass of Cu = (317.5 × 10^6)/(123.5) g Mass of Cu ≈ 2.57085 × 10^6 g Step 5: Convert the mass of copper to tonnes and round to two significant figures. Mass of Cu in tonnes = 2.57085 × 10^6 g10^6 g/tonne Mass of Cu in tonnes ≈ 2.57085 tonnes Rounding to two significant figures (as per the input 5.0 tonnes): Mass of Cu = 2.6 tonnes What's next?