The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?

Respuesta :

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]