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80 g of impure sugar when dissolved in ...

80 g of impure sugar when dissolved in a litre of water gives an optical rotation of `9.9^(@)` when placed in a tube of length 20 cm.If the specific rotation of sugar is `66^(@)`, find percentage purity of sugar solution:

A

`93.75%`

B

`72%`

C

`56%`

D

`32%`

Text Solution

Verified by Experts

The correct Answer is:
A
`C= (theta)/(l xx alpha), theta = 9.9^(@), l - 2.0` decimetre and `alpha = 66^(@)`
`therefore C = (9.9)/(2.0 xx 66^(@)) = 0.075 g/cc = 75 g/litre`
`therefore` purity `= (75)/(80) xx 100 = 93.75 %`.
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