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.
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To solve this problem, we need to follow these steps: 1. Calculate the molar mass of tin oxide (SnO_2). 2. Determine the number of moles of SnO_2 from the given mass. 3. Use the stoichiometry of the balanced chemical equation to find the moles of carbon (C) required. 4. Calculate the mass of carbon required. 5. Calculate the mass of coke needed, considering it is 80% carbon. Given: Reaction: SnO_2 + 2C → Sn + 2CO Mass of pure tin oxide (SnO_2) = 0.302 kg Atomic masses: Sn = 119 g/mol, O = 16 g/mol, C = 12 g/mol Coke contains 80% carbon by mass. Step 1: Calculate the molar mass of SnO_2. The molar mass of SnO_2 is the sum of the atomic mass of Sn and two times the atomic mass of O. Molar mass of SnO_2 = (1 × 119) + (2 × 16) = 119 + 32 = 151 g/mol Step 2: Determine the number of moles of SnO_2. First, convert the mass of SnO_2 from kg to g. Mass of SnO_2 = 0.302 kg = 0.302 × 1000 g = 302 g Now, calculate the moles of SnO_2. Moles of SnO_2 = Mass of SnO_2Molar mass of SnO_2 = 302 g151 g/mol = 2 mol Step 3: Use stoichiometry to find the moles of carbon (C) required. From the balanced chemical equation, 1 mole of SnO_2 reacts with 2 moles of C. SnO_2 + 2C → Sn + 2CO Since we have 2 moles of SnO_2, the moles of carbon required will be: Moles of C = 2 × (Moles of SnO_2) = 2 × 2 mol = 4 mol Step 4: Calculate the mass of carbon required. The molar mass of carbon is 12 g/mol. Mass of C = Moles of C × Molar mass of C = 4 mol × 12 g/mol = 48 g Step 5: Calculate the mass of coke needed. Coke contains 80% carbon by mass. This means that the mass of carbon calculated (48 g) represents 80% of the total mass of coke. Let the mass of coke be x. 0.80 × x = 48 g x = 48 g0.80 = 60 g Finally, convert the mass of coke from g to kg. Mass of coke = 60 g = 0.060 kg Comparing this result with the given options: A. 0.40 kg B. 0.20 kg C. 0.06 kg D. 0.04 kg The calculated mass of coke is 0.06 kg. The final answer is 0.06 kg