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 solution (sometimes referred to as 0.90% m/v). if the van't hoff factor of nacl is =1.8, what is the osmotic pressure of blood at body temperature, 37 ∘c?

The osmotic pressure of the solution is 6.86 atm.

We have the following information;

Concentration of NaCl = 0.90 g NaCl per 100. mL

Van't Hoff factor = 1.8

Temperature =  37 ∘C + 273 = 310 K

The formula for osmotic pressure is = iMRT

Where;

i =  Van't Hoff factor

M = molarity

R = gas constant

T = absolute temperature

We have to convert the concentration to mol/L as follows;

Number of moles of NaCl = 0.90 g/58.5 g/mol = 0.015 moles

Volume of the solution = 100 mL or 0.1 L

Concentration in mol/L = 0.015 moles/ 0.1 L = 0.15 mol/L

Substituting into the formula;

π =  1.8 × 0.15 mol/L ×0.082 L atm mol-1 K-1 × 310 K

π = 6.86 atm

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Explanation:

1. Find the molar concentration

Assume that we have 100 mL solution.

Mass of NaCl = 0.90 g

2. Find the osmotic pressure

The formula for osmotic pressure (Π) is

Π = icRT

T = (37 + 273.15) K = 310.15 K