Can I get help on this please?

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 solution (sometimes referred 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 ∘C?

Π=atm?

Answer 1

The equation for osmotic pressure is π = iMRT

π = osmotic pressure = ?

i = van't Hoff factor = 1.8

M = molarity = moles NaCl / L (see below)

R = gas constant = 0.0821 Latm/Kmol

T = temperature in Kelvin = 37ºC + 273 = 310K

Calculating M:

0.90 g NaCl / 100 ml x 1 mol NaCl / 58.44 g = 0.0154 mols NaCl / 100 ml x 1000 ml / L = 0.154 M NaCl

π = (1.8)(0.154)(0.0821)(310)

π = 7.06 atm