Answer:
The length of the protein molecule, in meters is [tex]208 \times 10^{-9} m[/tex]
Step-by-step explanation:
Diameter of hydrogen atom = [tex]1.04 \times 10^{-10} m[/tex]
We are given that A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom.
Length of protein molecule = [tex]2000 \times \text{Diameter of hydrogen atom}[/tex]
Length of protein molecule = [tex]2 \times 10^3 \times 1.04 \times 10^{-10}[/tex]
Length of protein molecule = [tex]2 \times 1.04 \times 10^{-10+3}[/tex]
Length of protein molecule = [tex]2 \times 1.04 \times 10^{-7}[/tex]
Length of protein molecule =[tex]2.08 \times 10^{-7}[/tex]
Length of protein molecule = [tex]208 \times 10^{-7-2}[/tex]
Length of protein molecule =[tex]208 \times 10^{-9} m[/tex]
Hence the length of the protein molecule, in meters is [tex]208 \times 10^{-9} m[/tex]