Question

Intravenous, or IV solutions used in medicine must exert the same osmotic pressure as blood to prevent a net flow of water into or out of the blood cells. The proper concentration for an intravenous NaCl solution is 0.90 g NaCl per 100. mL of water (sometimes refered to as 0.90% m/v). If the van\'t Hoff factor of NaCl is i = 1.8, what is the osmotic pressure of blood at body temperature, 37

Answer 1

Osmotic pressure of the solution = 7.055 atm

Step-by-step explanation:

Osmotic pressure is a colligative property, which depends upon the molarity of the solution. The relation between the osmotic pressure and van't Hoff factor is as follows

Osmotic pressure of a solution θ = iMRT, where M is the molarity of the solution R is the gas constant, and T is the temperature

Number of moles = Mass of substance/Molar mass

Moles = 0.90/58.4 = 0.0154 mol

Molarity = Mass of solute/volume of solution in liters

Molarity = 0.0154/(100 x 10-3)

Molarity = 0.154M

Teta = iMRT

Substitute C = 0.154M, I = 1.8, R = 0.0821LatmK⁻¹mol⁻¹, T = 310 K

θ = 1.8 x 0.154 x 0.0821 x 310

θ = 7.055 atm

Osmotic pressure of the solution is 7.055 atm