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
Hey m — ready when you are. To calculate the number of carbon atoms in your signature, you would follow these steps: Step 1: Determine the mass of chalk used. Measure the mass of the chalk piece before writing your signature and then after. The difference in mass is the mass of CaCO_3 transferred to the surface. Mass of CaCO_3 = Mass of chalk before - Mass of chalk after Step 2: Calculate the molar mass of calcium carbonate (CaCO_3). Use the atomic masses of Calcium (Ca), Carbon (C), and Oxygen (O). Molar mass of CaCO_3 = Atomic mass of Ca + Atomic mass of C + (3 × Atomic mass of O) Molar mass of CaCO_3 ≈ 40.08\, g/mol + 12.01\, g/mol + (3 × 16.00\, g/mol) = 100.09\, g/mol Step 3: Calculate the number of moles of calcium carbonate. Divide the mass of CaCO_3 used by its molar mass. Moles of CaCO_3 = Mass of CaCO_3Molar mass of CaCO_3 Step 4: Determine the number of moles of carbon atoms. From the chemical formula CaCO_3, there is one carbon atom for every molecule of calcium carbonate. Therefore, the moles of carbon atoms are equal to the moles of CaCO_3. Moles of C atoms = Moles of CaCO_3 Step 5: Calculate the total number of carbon atoms. Multiply the moles of carbon atoms by Avogadro's number (6.022 × 10^23\, atoms/mol). Number of C atoms = Moles of C atoms × (6.022 × 10^23\, atoms/mol) The calculation steps are: 1. Measure the mass of chalk used. 2. Calculate the molar mass of CaCO_3. 3. Calculate moles of CaCO_3. 4. Determine moles of C atoms. 5. Calculate the number of C atoms. What's next?