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(D) Key Idea: Isotonic solutions are those solutions which have the same osmotic pressure at a given temperature.Formula for osmotic pressure: $\pi =

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$3.0 \ g \ L^{-1}$ urea and $17.1 \ g \ L^{-1}$ sucrose

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(D) Key Idea: Isotonic solutions are those solutions which have the same osmotic pressure at a given temperature.Formula for osmotic pressure: $\pi = C R T$,where $C$ is the molar concentration.For urea $(3.0 \ g \ L^{-1})$:Molar concentration $C_1 = \frac{3 \ g \ L^{-1}}{60 \ g \ mol^{-1}} = 0.05 \ mol \ L^{-1} = \frac{1}{20} \ mol \ L^{-1}$.Osmotic pressure $\pi_1 = \frac{1}{20} R T$.For sucrose $(17.1 \ g \ L^{-1})$:Molar concentration $C_2 = \frac{17.1 \ g \ L^{-1}}{342 \ g \ mol^{-1}} = 0.05 \ mol \ L^{-1} = \frac{1}{20} \ mol \ L^{-1}$.Osmotic pressure $\pi_2 = \frac{1}{20} R T$.Since $\pi_1 = \pi_2$,the solutions are isotonic.

Which of the following sets of solutions of urea (mol. mass $60 \ g \ mol^{-1}$) and sucrose (mol. mass $342 \ g \ mol^{-1}$) is isotonic?

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