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प्रश्न
Solve problem:
Arjun purchased 250 g of glucose (C6H12O6) for Rs 40. Find the cost of glucose per mole.
उत्तर
Given: Mass of glucose = 250 g, cost for 250 g glucose = Rs 40, molecular formula of glucose = C6H12O6
To find: Cost per mole of glucose
Calculation: Molecular formula of glucose is (C6H12O6).
Molecular mass of glucose
= (6 × Average atomic mass of C) + (12 × Average atomic mass of H) + (6 × Average atomic mass of O)
= (6 × 12 u) + (12 × 1 u) + (6 × 16 u)
= 180 u
∴ Molar mass of glucose = 180 g mol−1
Number of moles = `"Mass of a substance"/"Molar mass of a substance"`
= `(250 "g")/(180"g mol"^-1)`
= `250/180` mol
Now,
`250/180` mol of glucose cost = Rs 40
1 mol glucose cost = x
∴ x = `(40xx180)/250`
= Rs 28.8/mol of glucose
The cost of glucose per mole is Rs 28.8.
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