Question

Question 2 (7.5 points) What is the density of a soil sample if 170 mL of the soil sample is 3.62% Carbon and 53.28 g of carbon dioxide was produced upon burning of the carbon in the soil. Give three significant figures in your answer.

Answer 1

Q2. density of soil sample = 2.4 g/mL

Explanation

Given : mass of CO₂ = 53.28 g

moles of CO₂ = (mass of CO₂) / (molar mass of CO₂)

moles of CO₂ = (53.28 g) / (44.01 g/mol)

moles of CO₂ = 1.21 mol

moles of carbon = moles of CO₂

moles of carbon = 1.21 mol

mass of carbon = (moles of carbon) * (molar mass of carbon)

mass of carbon = (1.21 mol) * (12.01 g/mol)

mass of carbon = 14.54 g

mass of soil sample = (mass of carbon) / (mass fraction of carbon)

mass of soil sample = (14.54 g) / (0.0362)

mass of soil sample = 401.65 g

density of soil sample = (mass of soil sample) / (volume of soil sample)

density of soil sample = (401.65 g) / (170 mL)

density of soil sample = 2.4 g/mL