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(D) Two solutions are isotonic if they have the same osmotic pressure,i.e.,$\pi_1 = \pi_2$.Since $\pi = CRT$,for isotonic solutions at the same temper

Vedclass · Accepted Answer

$63$

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(D) Two solutions are isotonic if they have the same osmotic pressure,i.e.,$\pi_1 = \pi_2$.Since $\pi = CRT$,for isotonic solutions at the same temperature,$C_1 = C_2$.For the first substance: Concentration $C_1 = \frac{1.05 \ g}{M 	imes 0.1 \ L} = \frac{10.5}{M} \ mol/L$.For the $3\%$ glucose solution: $3 \ g$ of glucose in $100 \ mL$ solution. Molar mass of glucose $(C_6H_{12}O_6)$ = $180 \ g/mol$.Concentration $C_2 = \frac{3 \ g}{180 \ g/mol 	imes 0.1 \ L} = \frac{30}{180} = \frac{1}{6} \ mol/L$.Equating $C_1 = C_2$: $\frac{10.5}{M} = \frac{1}{6}$.$M = 10.5 	imes 6 = 63 \ g/mol$.

$A$ solution of a non-electrolyte substance containing $1.05 \ g$ per $100 \ mL$ was found to be isotonic with a $3\%$ glucose solution. The molecular mass of the substance is:

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