Suppose 1.00 ml of blood from a given donor contained 5 X 106 red blood cells and the donor’s hematocrit were 48%. Determine the surface area that the lipids extracted from the plasma membranes of red blood cells obtained from 10.0 ml blood would occupy on the surface of water in a Langmuir trough.

To determine the surface area that the lipids extracted from the plasma membranes of red blood cells would occupy on the surface of water in a Langmuir trough, we can follow these steps:

Step 1: Calculate the volume of red blood cells in 1.00 ml of blood.
The hematocrit represents the percentage of the blood volume occupied by red blood cells. In this case, the hematocrit is 48%, which means that 48% of the blood volume consists of red blood cells.

Volume of red blood cells in 1.00 ml of blood = (48 / 100) * 1.00 ml
= 0.48 ml

Step 2: Calculate the number of red blood cells in 10.0 ml of blood.
Since the volume of red blood cells in 1.00 ml of blood is 0.48 ml, we can use this information to calculate the volume in 10.0 ml of blood.

Volume of red blood cells in 10.0 ml of blood = 0.48 ml * 10.0 ml
= 4.8 ml

Step 3: Calculate the number of red blood cells in 10.0 ml of blood.
If we know that 1.00 ml of blood contains 5 x 10^6 red blood cells, we can use this information to find the number of red blood cells in 10.0 ml of blood.

Number of red blood cells in 10.0 ml of blood = 5 x 10^6 red blood cells * 10.0
= 50 x 10^6 red blood cells

Step 4: Calculate the surface area occupied by the extracted lipids.
The surface area occupied by the extracted lipids can be determined by considering the surface area of a single red blood cell.

The average diameter of a red blood cell is approximately 7.5 μm, which is equal to 7.5 x 10^-6 meters.

Assuming the red blood cells are spherical, we can calculate the surface area using the formula:

Surface area of a single red blood cell = 4 * π * (radius)^2

Since the diameter is given, we can calculate the radius:
radius = (7.5 x 10^-6 meters) / 2
= 3.75 x 10^-6 meters

Now we can calculate the surface area of a single red blood cell:
Surface area of a single red blood cell = 4 * π * (3.75 x 10^-6)^2

Step 5: Calculate the total surface area occupied by the extracted lipids.
To find the total surface area occupied by the lipids extracted from all the red blood cells in 10.0 ml of blood, we multiply the surface area of a single red blood cell by the number of red blood cells.

Total surface area occupied by the lipids = Surface area of a single red blood cell * Number of red blood cells

Once you have the total surface area occupied by the lipids, you will have your answer.