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Specific rotation angle of an optically compound is inversely proportional to concentration of the solution*1 pointTrueFalse

Question

Specific rotation angle of an optically compound is inversely proportional to concentration of the solution

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Solution

The statement is False.

The specific rotation angle of an optically active compound is directly proportional to the concentration of the solution. According to the formula for specific rotation, the specific rotation [α][\alpha] is defined as:

[α]=αcl [\alpha] = \frac{\alpha}{c \cdot l}

where:

  • [α][\alpha] is the specific rotation,
  • α\alpha is the observed rotation,
  • cc is the concentration of the solution,
  • ll is the path length of the sample in decimeters (dm).

From this formula, it is clear that as concentration increases, the observed rotation α\alpha will also increase, assuming all other factors remain constant. Thus, specific rotation does not vary inversely with concentration.

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