205k views
2 votes
Mr. Barnes passes away and at the time of his death his is roughly 150lbs. There are no exacerbating conditions and his remains are brought to the funeral home promptly. The embalmer wishes to make a 2% solution in 3.5 gallons of water using 4 bottles of arterial fluid. For best solution distribution the primary dilution should be

User Gkhanacer
by
7.5k points

1 Answer

4 votes

Final answer:

To achieve a 2% solution in 3.5 gallons of water using 4 bottles of arterial fluid, the primary dilution should be approximately 0.000375 gallons of arterial fluid in 3.5 gallons of water.

Step-by-step explanation:

The embalmer wishes to make a 2% solution in 3.5 gallons of water using 4 bottles of arterial fluid. To achieve the desired percentage, the primary dilution should be:

  1. Add the total volume of arterial fluid in the 4 bottles. If each bottle contains 1 gallon of fluid, the total volume would be 4 gallons.
  2. Calculate the percentage of arterial fluid in the total solution. To do this, divide the volume of arterial fluid by the total volume of the solution (arterial fluid + water) and multiply by 100%. In this case, the percentage should be 2%.
  3. Set up a proportion to find the amount of water needed to achieve the desired percentage:

Arterial fluid volume / Total solution volume = Desired percentage / 100%

Substituting the known values:

4 gallons / (4 gallons + 3.5 gallons) = 2% / 100%

Cross multiplying and solving for the unknown:

4 gallons * 100% = 2% * 7.5 gallons

400% = 0.15 gallons

Dividing both sides by 400:

1 gallon = 0.000375 gallons

To express the primary dilution in gallons, we can round the answer to the nearest hundredth:

Primary dilution = 0.000375 gallons of arterial fluid in 3.5 gallons of water

User Atmorell
by
7.2k points