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Multiple Choice
What is the mass percentage of carbon in dimethyl sulfoxide (C2H6SO), rounded to three significant figures?
A
15.8%
B
21.1%
C
40.0%
D
30.7%
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Verified step by step guidance
1
First, determine the molar mass of dimethyl sulfoxide (C2H6SO). Calculate the molar mass by adding the atomic masses of all the atoms in the formula. Use the periodic table to find the atomic masses: Carbon (C) is approximately 12.01 g/mol, Hydrogen (H) is approximately 1.01 g/mol, Sulfur (S) is approximately 32.07 g/mol, and Oxygen (O) is approximately 16.00 g/mol.
Calculate the total molar mass of dimethyl sulfoxide (C2H6SO) using the formula: \( \text{Molar mass} = 2 \times \text{C} + 6 \times \text{H} + 1 \times \text{S} + 1 \times \text{O} \). Substitute the atomic masses into the equation: \( \text{Molar mass} = 2 \times 12.01 + 6 \times 1.01 + 32.07 + 16.00 \).
Next, calculate the mass of carbon in the compound. Since there are two carbon atoms in C2H6SO, multiply the atomic mass of carbon by 2: \( \text{Mass of carbon} = 2 \times 12.01 \).
To find the mass percentage of carbon in dimethyl sulfoxide, use the formula: \( \text{Mass percentage of carbon} = \left( \frac{\text{Mass of carbon}}{\text{Molar mass of C2H6SO}} \right) \times 100 \).
Finally, substitute the values obtained from the previous steps into the mass percentage formula and calculate the percentage. Round the result to three significant figures to find the mass percentage of carbon in dimethyl sulfoxide.