A typical virus is a packet of protein and DNA (or RNA) and can be spherical in shape. The influenza A virus is a spherical virus that has a diameter of 85 nm. If the volume of saliva coughed onto you by your friend with the flu is 0.023 cm3 and 10−9 of that volume consists of viral particles, how many influenza viruses have just landed on you?
numbervirus=volume coughed*E-9/(4PI(d/2)^3
can you please explain that answer a little bit more because i really need to get this question right
To find out how many influenza viruses have just landed on you, we need to calculate the number of viruses based on the given information.
Step 1: Convert the volume of saliva coughed onto you from cm^3 to nm^3.
1 cm^3 = 1,000,000,000 nm^3
So, 0.023 cm^3 = 0.023 * 1,000,000,000 nm^3 = 23,000,000 nm^3
Step 2: Calculate the volume of viral particles in nm^3.
10^(-9) of the volume of saliva is made up of viral particles.
Volume of saliva containing viral particles = 10^(-9) * 23,000,000 nm^3
Step 3: Calculate the number of viral particles by dividing the volume of viral particles by the volume of a single viral particle.
The influenza A virus has a diameter of 85 nm, so its radius (r) is half of that, i.e., 85/2 = 42.5 nm.
The volume of a sphere is given by the formula: V = (4/3) * π * r^3
Volume of a single viral particle = (4/3) * π * (42.5 nm)^3
Step 4: Divide the volume of viral particles by the volume of a single viral particle to get the number of viral particles.
Number of viral particles = (Volume of viral particles) / (Volume of a single viral particle)
Now, let's do the calculations:
Volume of saliva containing viral particles = 10^(-9) * 23,000,000 nm^3 ≈ 0.023 nm^3
Volume of a single viral particle = (4/3) * π * (42.5 nm)^3 ≈ 328,204 nm^3
Number of viral particles = (0.023 nm^3) / (328,204 nm^3)
Number of viral particles ≈ 7.00 x 10^(-8)
So, approximately 7.00 x 10^(-8) influenza viruses have just landed on you.