Question

An aluminum atom has a mass of 4.48 * 10-23 g and a small airplane has a mass of 5000 kg. Use this information to answer the questions below. Be sure your answers have the correct number of significant digits.

What is the mass of 1 mole of aluminum atoms?
Round your answer to 3 significant digits.
_____g
How many moles of aluminum atoms have a mass equal to the mass of a small airplane?
Round your answer to 3 significant digits.
_______

Answer 1

Answer: 1. 26.9 g

2.
`1.86* 10^5moles`

Step-by-step explanation:

According to avogadro's law, 1 mole of every substance weighs equal to the molecular mass and contains avogadro's number
`6.023* 10^(23)` of particles.

1. 1 atom of aluminium has mass =
`4.48* 10^(-23)g`

Thus 1 mole or
`6.023* 10^(23)` atoms has mass =
`(4.48* 10^(-23))/(1)* 6.023* 10^(23)=26.9g`

2. 26.9 g of aluminium contains = 1 mole

5000 kg or 5000000 g of aluminium contains =
`(1)/(26.9)* 5000000=1.86* 10^5moles`