Question

This stadium can hold 100,000, or 1x10, people. The

number of atoms in a grain of iron is about 1x 1016,


Would you need 1 x 10° or 1 x 10' stadiums to hold


the same number of people as the number of atoms in


a grain of iron? Explain your answer,

Answer 1

1 x 10^13 stadiums will be needed in this scenario

Step-by-step explanation:

We are told that

1 stadium holds = 1 × 10^5 people and

Number of iron atoms = 1 × 10^18 atoms

If the stadium carries an equivalent number of atoms as that of people.

We can infer that 1 stadium will carry 1 × 10^5 atoms.

The calculation to determine the number of stadiums would then be 1 × 10^18 divided by 10^5 atoms/stadium which was gotten by dividing the total number of atoms by the number of atoms per stadium.

Number of stadiums = Total number of atoms ÷ Number of atoms per stadium

= 1 × 10^18 atoms ÷ 1 × 10^5 atoms/stadium

= 1 × 10^13 Stadiums

This means that 1 × 10^18 atoms would occupy 1 × 10^13 stadiums