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Question

The osmotic pressure of blood is 7.65 atm at 37C. How much glucose should be used per L for an intravenous injection that is to have the same osmotic pressure as blood?

A
27.1g
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B
44.6g
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C
54.0g
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D
89.2g
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Solution

The correct option is C 54.0g
The osmotic pressure is given by Π=CRT
Here, C is the molar concentration, R is the ideal gas constant (0.08206 L atm / mol . K) and T is the absolute temperature.
Now,
7.65=C×0.08206×(273+37)
C=0.3 M
1 L of the solution will contain 0.3 moles of glucose. The molar mass of glucose is 180 g/mol.

This corresponds to 0.3×180=54.0 g of glucose.

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