Respuesta :
Answer:
The mass in grams of a red blood cell is about 7.85 × 10⁻¹¹ grams
Explanation:
To find the mass in grams of a red blood cell,
From,
[tex]Density = \frac{Mass}{Volume}[/tex]
Then,
[tex]Mass = Density \times Volume[/tex]
From the question,
Density of a red blood cell is similar to that of water
Density of water = 1 g/mL = 1 g/ cm³
Then, Density of a red blood cell = 1 g/cm³
Now, we will find the volume a red blood cell.
From the question,
- A red blood cell is shaped like a one micrometer thick disk with a diameter of about 10 micrometers
Since the shape is like that of a thick disc, we can determine the volume by using the formula for volume of a cylinder.
Hence,
Volume of a red blood cell = [tex]\pi r^{2}h[/tex]
Where [tex]\pi[/tex] Is a constant (Take [tex]\pi[/tex] = 3.14)
[tex]r[/tex] is the radius
and [tex]h[/tex] is the thickness
Diameter of a red blood cell = 10 micrometers
Then, radius of a red blood cell = 10/2 micrometers = 5 micrometers
[tex]r[/tex] = 5 micrometers = 5 × 10⁻⁶ meters
and [tex]h[/tex] = 1 micrometer = 1 × 10⁻⁶ meters
Hence,
Volume of a red blood cell = 3.14 × (5 × 10⁻⁶)² × 1 × 10⁻⁶
∴ Volume of a red blood cell = 7.85 × 10⁻¹⁷ cubic meter (m³)
Convert this to cubic centimeter
(NOTE: 1 cubic meter = 1000000 cubic centimeter)
Hence,
Volume of a red blood cell = 7.85 × 10⁻¹¹ cubic centimeter (cm³)
Now, for the mass
[tex]Mass = Density \times Volume[/tex]
Density of a red blood cell = 1 g/cm³
Volume of a red blood cell = 7.85 × 10⁻¹¹ cubic centimeter (cm³)
Then,
Mass = 1 g/cm³ × 7.85 × 10⁻¹¹ cm³
Mass = 7.85 × 10⁻¹¹ g
Hence, the mass in grams of a red blood cell is about 7.85 × 10⁻¹¹ grams
