The osmotic pressure of human blood is precisely at . What must be the exact concentration of a gluc — Solutions and Colligative Properties Chemistry Question
Question
The osmotic pressure of human blood is precisely $7.40\text{ atm}$ at $27^\circ\text{C}$. What must be the exact concentration of a glucose ($C_6H_{12}O_6$) intravenous injection solution for it to be perfectly isotonic with blood? ($R = 0.0821\text{ L atm K}^{-1}\text{ mol}^{-1}$)
Answer: C
💡 Solution & Explanation
Isotonic means it has the same osmotic pressure. $\pi = CRT \implies 7.40 = C \times 0.0821 \times 300$. Solving for $C$ gives $C = \frac{7.40}{24.63} \approx 0.30\text{ mol L}^{-1}$. Since glucose is a non-electrolyte ($i=1$), its molarity is its effective concentration.
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