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Nitella
2 months ago
15

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 que

stions below. Be sure your answers have the correct number of significant digits.
(a) What is the mass of 1 mole of aluminum atoms?
(b) How many moles of aluminum atoms have a mass equal to the mass of a small airplane?
Chemistry
2 answers:
alisha [2.9K]2 months ago
6 0

You should recall that one mole contains 6.02 × 1023 atoms (Avogadro's number). Given a single atom weighs 4.48 × 10-23 grams, applying a proportion calculates the mass of one mole as 26.9696 g. For part b, first convert 5000 kg to 5,000,000 g (or 5 × 106 g) and then apply a ratio: if 1 mole weighs 26.9696 g, how many moles correspond to 5 × 106 g? Be careful with units here! The answer for part b is 185,393.92 moles.

alisha [2.9K]2 months ago
3 0

Explanation:

(a) The mole concept states that 1 mole contains 6.022 \times 10^{23} atoms.

The number of atoms in 4.48 \times 10^{-23} grams is calculated as:

4.48 \times 10^{-23} \times 6.022 \times 10^{23}

= 26.97 g

Or approximately 27 g.

This indicates that 1 mole of aluminum atoms has a mass of 27 g.

(b) The airplane's mass is 5000 kg or 5,000,000 g (5000 \times 1000 g).

Knowing 1 mole of aluminum weighs 27 g and the airplane weighs 5,000,000 g, calculate the number of moles:

Number of moles = \frac{\text{mass of small air plane}}{\text{mass of 1 mol Aluminium}}

= \frac{5000000g}{27 g}

= 185,185.18 moles

Rounded to three significant figures: 185,000 moles of aluminum atoms equal the airplane's mass.

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