Question

What is the mass (in kg) of 6.89 × 10²⁵ molecules of CO₂? The molar mass of CO₂ is 44.01 g/mol.

Answer 1

To find the mass of 6.89 × 10²⁵ molecules of CO₂, first calculate the number of moles of CO₂ using Avogadro's number. Then, convert moles of CO₂ to mass using the molar mass of CO₂. Finally, convert the mass of CO₂ to kilograms.

Step-by-step explanation:

To find the mass of 6.89 × 10²⁵ molecules of CO₂, we can use the molar mass of CO₂ and convert it to kilograms. First, calculate the number of moles of CO₂ using Avogadro's number (6.022 × 10²³ molecules/mol):

1. Number of moles of CO₂ = (6.89 × 10²⁵ molecules) / (6.022 × 10²³ molecules/mol) = 1.143 mol

Next, convert moles of CO₂ to mass using the molar mass of CO₂:

1. Mass of CO₂ = (1.143 mol) × (44.01 g/mol) = 50.29123 g

Finally, convert the mass of CO₂ to kilograms:

1. Mass of CO₂ in kg = 50.29123 g / 1000 = 0.05029 kg

Therefore, the mass of 6.89 × 10²⁵ molecules of CO₂ is approximately 0.05029 kg.