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When an optically active compound is placed in a 10 dm tube is present 20 gm in a 200 ml solution rotates the PPL by 30º. Calculate the angle of rotation & specific angle of rotation if above solution diluted to 1 Litre.
  • a)
    16º & 36º
  • b)
    6º & 30º
  • c)
    3º & 30º
  • d)
    6º & 36º
Correct answer is option 'B'. Can you explain this answer?
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To calculate the specific angle of rotation, we need to use the formula:

Specific rotation = observed rotation / (concentration * path length)

Given data:
- Compound concentration = 20 g in 200 mL
- Tube length (path length) = 10 dm = 100 cm

First, we need to convert the concentration from grams per milliliter (g/mL) to grams per cubic centimeter (g/cm³) since the path length is given in centimeters.

Concentration = 20 g / 200 mL = 0.1 g/mL = 0.1 g/cm³

Now we can calculate the specific angle of rotation:

Specific rotation = 30 / (0.1 * 100)
Specific rotation = 30 / 10
Specific rotation = 3°/dm*g/mL

To find the specific rotation when the solution is diluted to 1 liter, we need to calculate the new concentration.

Given data:
- Initial concentration = 0.1 g/cm³
- Volume after dilution = 1 L = 1000 mL

To find the new concentration, we can use the equation:

Initial concentration * Initial volume = Final concentration * Final volume

0.1 g/cm³ * 200 mL = Final concentration * 1000 mL

Final concentration = (0.1 g/cm³ * 200 mL) / 1000 mL
Final concentration = 0.02 g/mL = 0.02 g/cm³

Now we can calculate the new specific angle of rotation:

Specific rotation = 30 / (0.02 * 100)
Specific rotation = 30 / 2
Specific rotation = 15°/dm*g/mL

Therefore, the specific angle of rotation when the solution is diluted to 1 liter is 15°/dm*g/mL, which is equivalent to 6°/30' (option B).
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When an optically active compound is placed in a 10 dm tube is present 20 gm in a 200 ml solution rotates the PPL by 30º. Calculate the angle of rotation & specific angle of rotation if above solution diluted to 1 Litre.a)16º & 36ºb)6º & 30ºc)3º & 30ºd)6º & 36ºCorrect answer is option 'B'. Can you explain this answer?
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