Determine the total number of carbon atoms found in a 17.1 g sample of sucrose ( C₁₂H₂₂O₁₁ ). (Given : Molar mass of sucrose = 342 g mol ⁻¹ , N_A = 6.022 10²³ mol ⁻¹ )

Step-by-step solution

Number of moles of sucrose = 17.1 342 = 0.05 mol Number of molecules of sucrose = 0.05 6.022 10²³ = 3.011 10²² Since each molecule of sucrose ( C₁₂H₂₂O₁₁ ) contains 12 carbon atoms, the total number of carbon atoms is: 12 3.011 10²² = 3.613 10²³ Answer: 3.613 10²³