Question

Determine the number of carbon atoms in 1.00 kg of carbon dioxide.

Answer 1

Answer:

1.37 × 10²⁵ atoms

Explanation:

Step 1: Given data

Mass of CO₂ (m): 1.00 kg

Step 2: Convert "m" to grams

We will use the relationship 1 kg = 10³ g.

1.00 kg × (10³ g/1 kg) = 1.00 × 10³ g

Step 3: Calculate the number of moles corresponding to 1.00 × 10³ g of CO₂

The molar mass of CO₂ is 44.01 g/mol.

1.00 × 10³ g × (1 mol/44.01 g) = 22.7 mol

Step 4: Calculate the moles of C in 22.7 moles of CO₂

The molar ratio of C to CO₂ is 1:1. The moles of C are 1/1 × 22.7 mol = 22.7 mol.

Step 5: Calculate the number of atoms of C in 22.7 moles of C

We will use Avogadro's number: there are 6.02 × 10²³ atoms of C in 1 mole of C.

22.7 mol × (6.02 × 10²³ atoms/1 mol) = 1.37 × 10²⁵ atoms