A patient has the following volumes of distribution: deuterium oxide: 42 liters

Question

A patient has the following volumes of distribution:

         deuterium oxide: 42 liters            

inulin: 13 liters                           

Evans blue: 2.8 liters

Her plasma shows a freezing point depression of 0.55 degrees C. For an ideal solution, a 1 OsM solution depresses the freezing point 1.86 degrees C.

1. What is the osmolarity of her body fluids? --> 0.295

2. How much solute (osmoles) exists in each of the above compartments?

Using the data above as the initial conditions in each case, determine the effects of the following procedures on the water and solute in the ECF and ICF after equilibrium has occurred. You should be able to give the numerical values for volume and osmolarity of the ECF and ICF. Briefly explain your rationale for solving each problem. (Treat each solution below as a separate problem; do not make them additive.)

Use #2 as a starting chart for the rest of the problems. Go back to #2 as a start chart for #3-8 (each question is an independent scenario; do not make them additive).

3. Patient ingests 1 L of water, which is absorbed totally from the digestive tract.

4. Patient ingests 0.18 moles of NaCl, all of which is absorbed into the body. Use dissociation constant of 2 for NaCl in all problems.

5. Patient receives an intravenous infusion of 2 L of 0.9% NaCl solution .

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1. Osmolarity of body fluids 0.295 (Show work)

2.

Total

ECF

ICF

Plasma

Vol L

42

13

29

2.8

Sol osmol

0.295

0.295

0.295

0.295

mOsM

12.39

3.835

8.555

0.826

3.

           

Total

ECF

ICF

Vol L

42+1

13

30

Sol osmol

0.295

0.295

0.295

mOsM

12.685

3.835

8.85

                                                                                               

                                                                                               

4.

Total

ECF

ICF

Vol L

Sol osmol

mOsM

Explanation:

5.

Total

ECF

ICF

Vol L

Sol osmol

mOsM

Explanation:

Total

ECF

ICF

Plasma

Vol L

42

13

29

2.8

Sol osmol

0.295

0.295

0.295

0.295

mOsM

12.39

3.835

8.555

0.826

Explanation / Answer

Patients ingests 0.18 moles of NCL

3)

4)

5) Intravenous infusion 2 L of 0.9% NaCL

0.9% = 9g NacL X 1 mole / 58.5g = 0.154 moles/L = 0.308 osmoles/L X 2 L = 0.616 osmoles added

Total body ECF ICF solute 12.39   osmol 3.835 osmol 8.555 osmol volume 42 + 1 = 43 L 13 L 29 L Osmolarity 0.295 mOsM 0.295 mOsM 0.295 mOsM

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