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Multiple Choice
A compound that contains only carbon, hydrogen, and oxygen is composed of 48.64% C and 43.2% O by mass. What is the empirical formula of this compound?
A
C3H6O2
B
CH2O2
C
CH4O
D
C2H6O2
Verified step by step guidance
1
Step 1: Begin by assuming you have 100 grams of the compound. This assumption simplifies calculations because the percentage of each element can be directly converted to grams. Therefore, you have 48.64 grams of carbon, 43.2 grams of oxygen, and the remainder will be hydrogen.
Step 2: Calculate the mass of hydrogen. Since the total mass is 100 grams, subtract the mass of carbon and oxygen from 100 grams to find the mass of hydrogen: 100 - 48.64 - 43.2 = 8.16 grams of hydrogen.
Step 3: Convert the masses of each element to moles using their respective molar masses. The molar mass of carbon (C) is approximately 12.01 g/mol, hydrogen (H) is approximately 1.01 g/mol, and oxygen (O) is approximately 16.00 g/mol. Use the formula: \( ext{moles} = \frac{ ext{mass}}{ ext{molar mass}} \).
Step 4: Calculate the moles of each element: \( ext{moles of C} = \frac{48.64}{12.01} \), \( ext{moles of H} = \frac{8.16}{1.01} \), \( ext{moles of O} = \frac{43.2}{16.00} \).
Step 5: Determine the empirical formula by finding the simplest whole number ratio of moles of each element. Divide the moles of each element by the smallest number of moles calculated in the previous step. Round to the nearest whole number to find the ratio of atoms in the empirical formula.