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Molecules and Atomicity

The cost of s...

Question

The cost of sucrose sugar C12 h22 o11 is ₹20 per kg its cost per mole is
a)₹ 3.60
B)₹7.20
C)₹4.00
D)₹10

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Solution

actually the correct option is not mentioned here.I hope there is an error in selecting the options.
But the answer given is correct.Please understand.
Please note that the chemical formula of sucrose is C12H22O11 . The molar mass, that is the mass of one mole of sucrose is 342g. We are given that the cost of sugar is Rs. 20/kg. Thus
Cost of 1kg or 1000g of sugar = Rs 20
Cost of 1g of sugar = Rs (20 / 1000) = Rs (1/50)
Cost of 342g of sugar = Rs ( 342 / 50) = Rs 6.84
Thus cost per mole is Rs 6.84.

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kg

of sugar costing

Rs. 5.75

kg

should be mixed with

75 kg

of cheaper sugar costing

Rs. 4.50

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so that the mixture is worth

Rs. 5.50

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