Given Information:
- A 100 mg sample of a compound containing C, H, and O is burned.
- The combustion results in the formation of 176 mg of CO2 and 36 mg of H2O.

Calculating the Mass of Carbon and Hydrogen:
To determine the empirical formula of the compound, we need to find the ratio of carbon to hydrogen in the compound. We can start by calculating the mass of carbon and hydrogen in the products obtained from the combustion.

1. Mass of Carbon:
- 1 mole of CO2 contains 1 mole of carbon.
- The molar mass of CO2 is 44 g/mol.
- The mass of CO2 obtained from the combustion is 176 mg.
- Using the formula: mass = moles × molar mass, we can find the moles of CO2.
Moles of CO2 = mass of CO2 / molar mass of CO2

- Substituting the given values, we get:
Moles of CO2 = 176 mg / 44 g/mol

- Converting milligrams to grams:
Moles of CO2 = 0.004 mol

- Since 1 mole of CO2 contains 1 mole of carbon, the moles of carbon are also 0.004 mol.

- The molar mass of carbon is 12 g/mol.
- Using the formula: mass = moles × molar mass, we can find the mass of carbon.
Mass of carbon = moles of carbon × molar mass of carbon

- Substituting the values, we get:
Mass of carbon = 0.004 mol × 12 g/mol

- The mass of carbon is 0.048 g or 48 mg.

2. Mass of Hydrogen:
- 1 mole of H2O contains 2 moles of hydrogen.
- The molar mass of H2O is 18 g/mol.
- The mass of H2O obtained from the combustion is 36 mg.
- Using the formula: mass = moles × molar mass, we can find the moles of H2O.
Moles of H2O = mass of H2O / molar mass of H2O

- Substituting the given values, we get:
Moles of H2O = 36 mg / 18 g/mol

- Converting milligrams to grams:
Moles of H2O = 0.002 mol

- Since 1 mole of H2O contains 2 moles of hydrogen, the moles of hydrogen are 0.004 mol.

- The molar mass of hydrogen is 1 g/mol.
- Using the formula: mass = moles × molar mass, we can find the mass of hydrogen.
Mass of hydrogen = moles of hydrogen × molar mass of hydrogen

- Substituting the values, we get:
Mass of hydrogen = 0.004 mol × 1 g/mol

- The mass of hydrogen is 0.004 g or 4 mg.

Calculating the Mass of Oxygen:
To determine the mass of oxygen, we can subtract the combined mass of carbon and hydrogen from the total mass of the compound.

- Total mass

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