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Q.

The specific rotation of dextrorotatory tartaric acid is +12.7 degrees. A mixture of dextrorotatory and levorotatory tartaric acid has a specific rotation of +6.35 degrees. What is the optical purity of the mixture?

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a

25%

b

33.33%

c

 50%

d

75% 
 

answer is C.

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Detailed Solution

The specific rotation of dextrorotatory tartaric acid is +12.7 degrees. A mixture of dextrorotatory and levorotatory tartaric acid has a specific rotation of +6.35 degrees. The optical purity of the mixture is calculated as follows:

Formula:

Optical Purity = (Observed Specific Rotation / Specific Rotation of Pure Dextrorotatory Tartaric Acid) × 100

Calculation:

  • Specific rotation of pure dextrorotatory tartaric acid: +12.7°
  • Observed specific rotation of the mixture: +6.35°
  • Optical Purity = (6.35 / 12.7) × 100 = 50%

Answer:

The optical purity of the mixture is 50%.

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