Question:
Cost of sugar (C\(_{12}\)H\(_{22}\)O\(_{11}\)) is ₹ 50 per kg. Calculate its cost per mol.
Cost of sugar (C\(_{12}\)H\(_{22}\)O\(_{11}\)) is ₹ 50 per kg. Calculate its cost per mol.
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To solve such problems, first convert the given mass (kg) to the amount for one mole. Pay close attention to units to avoid calculation errors.
Updated On: Apr 16, 2026
- ₹ 17.1 per mol
- ₹ 27.1 per mol
- ₹ 14.1 per mol
- None of the above
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept:
The cost per mole is found by calculating the mass of one mole of the substance (molar mass) and then determining the cost for that mass using the given rate per kg.
Step 2: Detailed Explanation:
Molar mass of sugar (C\(_{12}\)H\(_{22}\)O\(_{11}\)) = \(12\times 12 + 22\times 1 + 11\times 16\) = \(144 + 22 + 176 = 342\) g/mol = 0.342 kg/mol. Cost per kg = ₹ 50. Cost per mole = \(0.342 \text{ kg/mol} \times ₹ 50/\text{kg}\) = ₹ 17.1.
Step 3: Final Answer:
The cost per mole of sugar is ₹ 17.1, which corresponds to option (A).
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