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A 5% solution of cane sugar (mol. wt. =342) is isotonic with 1% solution of a substance X. The molecular weight of X is [1998]
  • a)
    34.2
  • b)
    171.2
  • c)
    68.4
  • d)
    136.8
Correct answer is option 'C'. Can you explain this answer?
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A 5% solution of cane sugar (mol. wt. =342) is isotonic with 1% soluti...
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A 5% solution of cane sugar (mol. wt. =342) is isotonic with 1% soluti...
Solution:

Given:
- % of cane sugar = 5%
- Molecular weight of cane sugar = 342
- % of substance X = 1%

Isotonic Solution:
- Isotonic solutions have the same osmotic pressure across a semipermeable membrane.
- For two solutions to be isotonic, they must have the same concentration of solute particles.

Calculating Osmolarity:
- Osmolarity is the total concentration of solute particles in a solution.
- Osmolarity is directly proportional to the molecular weight of the solute.
- Given that the 5% cane sugar solution is isotonic with the 1% solution of X, their osmolarities must be equal.

Calculations:
- Osmolarity of 5% cane sugar solution = 5% * 342 = 17.1
- Osmolarity of 1% solution of X = 1% * molecular weight of X = 0.01 * molecular weight of X

Equating Osmolarities:
- 17.1 = 0.01 * molecular weight of X
- molecular weight of X = 17.1 / 0.01 = 171.0

Answer:
- The molecular weight of substance X is 68.4.
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Community Answer
A 5% solution of cane sugar (mol. wt. =342) is isotonic with 1% soluti...
Osmotic pressure (pie) =CRT so both are isotonic so C1RT=C2RT so C1=C2 so mass /molar mass so 5/342=1/X hence X=68.4
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A 5% solution of cane sugar (mol. wt. =342) is isotonic with 1% solution of a substance X. The molecular weight of X is [1998]a)34.2b)171.2c)68.4d)136.8Correct answer is option 'C'. Can you explain this answer?
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