Question

An aqueous solution of sucrose, $C_{12}{H}_{22}{O}_{11}$, containing 34.2 g/L has an osmotic pressure of 2.38 atmospheres at ${17}^{o}C$, For an aqueous solution of glucose, $C_6{H}_{12}{O}_6$, to be isotonic, with this solution, it would have:

• A. 34.2 g/L of glucose
• B. 17.1 g/L of glucose
• C. 18.0 g/L of glucose
• D. 36.0 g/L of glucose

Answer 1

The correct option is C 18.0 g/L of glucose

we have,

$\pi =CRT$

strength of sucrose solution = 34.2 g/L

molar mass of sucrose = 342

molar mass of glucose = 180

since both solution are isotonic, we have

$C_{1}RT=C_{2}RT$

$\frac{34.2}{342}=\frac{M}{180}$

we get $M=18g/L$

strength of glucose solution = 18g/L

Hence, option (C) is correct.