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MHT CET2019Evening ShiftChemistrySolutionsActual

Which of the following sets of solutions of urea m o l . m a s s 60 g m o l - 1 and sucrose m o l . m a s s 342 g m o l - 1 is isotonic?

Options

  1. A9.1 g L - 1 urea and 6.0 g L - 1 sucrose
  2. B3.0 g L - 1 urea and 3.0 g L - 1 sucrose
  3. C6.0 g L - 1 urea and 9.0 g L - 1 sucrose
  4. D3.0 g L - 1 urea and 17.1 g L - 1 sucrose

Correct answer

D. 3.0 g L - 1 urea and 17.1 g L - 1 sucrose

Step-by-step solution

Key Idea Isotonic solutions are those solutions which have same osmotic pressure at a given temperature. Formula for osmotic pressure, π = C R T Considering the set given in option d , i.e. 3.0 g L - 1 urea and 17.1 g L - 1 sucrose. Given, molecular of sucrose 342 g m o l - 1 . For urea, Conc.C = 3 60 = 1 20 Osmotic pressure π 1 = 1 20 × R × T For sucrose conc. C = 17.1 342 = 1 20 ∴ Osmotic pressure, π 2 = 1 20 R T Thus, set of solution of urea and sucrose given in option d is isotonic.

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