How many grams of glucose must be added to 0. | vedclass

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(D) The osmotic pressure $\pi$ is given by the formula $\pi = CRT = \frac{w}{MV}RT$.For two solutions to have the same osmotic pressure at the same te

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$4.6$

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(D) The osmotic pressure $\pi$ is given by the formula $\pi = CRT = \frac{w}{MV}RT$.For two solutions to have the same osmotic pressure at the same temperature, their molar concentrations must be equal: $C_1 = C_2$.$\frac{w_1}{M_1 V_1} = \frac{w_2}{M_2 V_2}$.Since the solute is glucose in both cases, $M_1 = M_2 = 180 \ g/mol$.Given $V_1 = 0.5 \ L$, $w_2 = 9.2 \ g$, and $V_2 = 1.0 \ L$.Substituting the values: $\frac{w_1}{0.5} = \frac{9.2}{1.0}$.$w_1 = 9.2 	imes 0.5 = 4.6 \ g$.Thus, $4.6 \ g$ of glucose must be added.

How many grams of glucose must be added to $0.5 \ L$ of a solution so that its osmotic pressure is same as that of a solution of $9.2 \ g$ of glucose dissolved in a liter?

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