first year chemistry

Question

If 7.300000000000000 × 10²⁵ molecules of CO₂ are produced in a combustion reaction, how many liters of CO₂ is produced? (The density of CO₂ is 1.98 kg/m³ and 1 L = 1 dm³).

Answer 1

This is basically just mole conversions.

Use the conversions:

1 mol = 6.02×10²³molecules

Convert that to moles

7.300000000000000 × 10²⁵ (1 mol / 6.02×10²³molecules)=121.26 moles CO2

convert to grams with molar mass

44.009g=1mol

121.26 mol (44.009g/1mol)=5336.53134 grams

1000g=1kg

5336.53134 grams (1kg/1000g)=5.33653134 kg

kg to m³ with density

5.33653134 kg (1m³ / 1.98 kg)=2.6952 m³

10^-1m=1dm

2.6952 m³ (1dm³ / 10^-3 m³)=2695.2 dm³

1 L = 1dm³

2695.2 dm³ (1L/1dm³)=2695.2 L