TPN Formula:

- Dextrose: 200 grams
- HepatAmine: 60 grams
- Sodium Chloride: 50 mEq
- Potassium Chloride: 40 mEq
- Sodium Acetate: 20 mEq
- Magnesium Sulfate: 10 mEq
- Sodium Phosphate: 9 mMol
- Potassium Acetate: 15 mEq
- Calcium Chloride: 2 mEq
- Multivitamins: 12.5 ml
- Trace Elements: 5.1 ml
- Vitamin K: 0.5 mg
- Pepcid: 10 mg
- Regular Insulin: 20 units
- Sterile Water qs ad: 960 ml
- Flow Rate: 80 ml per hour

Question:

Magnesium sulfate is available as a 50% solution of magnesium sulfate heptahydrate (7 waters of hydration). What volume of this injection is needed for this formula?

Atomic weights:
- Mg = 24
- S = 32
- H = 1
- O = 16

To find the volume of 50% magnesium sulfate solution needed for the TPN formula, calculate the required mass of magnesium sulfate using the molecular mass and mEq value. Then, use the concentration-volume-mass equation to find the needed volume.

Explanation:

To determine the volume of the 50% magnesium sulfate solution needed for the TPN formula, we first need to calculate the amount of magnesium sulfate required. From the formula, we know that we need 10 mEq of magnesium sulfate. To convert this to grams, we need to know the molar mass of magnesium sulfate.

Mg = 24 g/mol, S = 32 g/mol, O = 16 g/mol

The molar mass of magnesium sulfate (MgSO4):

(24 g/mol) + (32 g/mol) + (4 x 16 g/mol) = 120 g/mol

Next, we calculate the number of moles of magnesium sulfate required:

10 mEq x (1 mol/1000 mmol) = 0.01 mol

Finally, we calculate the mass of magnesium sulfate required:

0.01 mol x 120 g/mol = 1.2 g

Now, to determine the volume of the 50% magnesium sulfate solution needed, we can use the equation:

% concentration x volume = mass

50% x volume = 1.2 g

volume = 1.2 g / 0.5 = 2.4 mL

Therefore, 2.4 mL of the 50% magnesium sulfate solution is needed for the TPN formula.

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