# What is the osmolarity of a solution that contains 4.00% (m/v) NaCl (fm = 58.44 g/mole) and 3.00% (m/v) glucose (fm = 180.18 g/mole)?

a) 8.80 osmol

b) 11.0 osmol

c) 1.54 osmol

d) 0.851 osmol

e) 1.37 osmol

f) 7.00 osmol

g) 3.08 osmol

it's neither B or D, i added both osmol's.

.08 osmol/liter NaCl + .03 osmol/liter glucose = 11.00 osmol

not sure what i did wrong

Relevance
• NaCl

The concentration of NaCl given in the problem is 0.04gmL=40gL

We can divide by the molar mass, getting 40gL⋅mol/ 58.44g≈0.6845 M

Glucose

The concentration of glucose given in the problem is 0.03gmL=30g.

We can divide by the molar mass, getting 30gL/ 180 g/ mol.≈0.1665 M.

osmolarity=∑ϕiniCi

where

• ϕ is the osmotic coefficient, which accounts for the degree of non-ideality of the solution.

• n is the number of particles (e.g. ions) into which a molecule dissociates.

• C is the molar concentration of the solute;

• the index i represents the identity of a particular solute.

If we ignore ϕ and assume that that everything dissociates perfectly.

This is reasonable because glucose and NaCl generally dissolve near-completely in water.

Osmolarity=∑niCi

=nNaClCNaCl+nglucoseCglucose

NaCl dissociates into two ions: Na++ and Cl−−, so nNaCl=2.nNaCl=2.

Glucose, however, does not dissociate, but rather stays as a single molecule.

Therefore, nglucose=1..

We now have osmolarity=2*0.6845+1*0.1665=1.5355 osmolar

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