The osmotic pressure of blood is 7.47 bar at 300 K.
To inject glucose to a patient intravenously, it has to be isotonic with blood. The concentration of glucose solution in g L⁻¹ is ______ (Molar mass of glucose = 180 g mol⁻¹, R = 0.083 L bar K⁻¹ mol⁻¹) (Nearest integer)
To inject glucose to a patient intravenously, it has to be isotonic with blood. The concentration of glucose solution in g L⁻¹ is ______ (Molar mass of glucose = 180 g mol⁻¹, R = 0.083 L bar K⁻¹ mol⁻¹) (Nearest integer)
Answer: 54
Solution
For isotonic solutions, osmotic pressures must be equal. Using π = CRT: 7.47 = C × 0.083 × 300. Solving: C = 7.47/(0.083 × 300) = 0.3 M. Converting to g/L: concentration = 0.3 mol/L × 180 g/mol = 54 g/L.
JEE Main · 2022 · 24 Jun 2022 · Shift 1 · Integer answer