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Multiple Choice
A sample of acetic acid is composed of 2.05 g of carbon and 2.73 g of oxygen. Calculate the mass of carbon in another sample of acetic acid that is composed of 3.27 g of oxygen.
A
3.27 g
B
1.85 g
C
2.45 g
D
2.05 g
Verified step by step guidance
1
Determine the mass ratio of carbon to oxygen in the original sample of acetic acid. This is done by dividing the mass of carbon by the mass of oxygen: \( \text{Ratio} = \frac{2.05 \text{ g C}}{2.73 \text{ g O}} \).
Calculate the mass of carbon in the new sample using the mass ratio obtained in the previous step. Set up a proportion where the mass of carbon in the new sample (\( x \)) is to the mass of oxygen in the new sample (3.27 g) as the original mass ratio: \( \frac{x}{3.27 \text{ g O}} = \frac{2.05 \text{ g C}}{2.73 \text{ g O}} \).
Solve the proportion for \( x \) by cross-multiplying: \( x \times 2.73 = 2.05 \times 3.27 \).
Isolate \( x \) by dividing both sides of the equation by 2.73: \( x = \frac{2.05 \times 3.27}{2.73} \).
Calculate the value of \( x \) to find the mass of carbon in the new sample. This will give you the mass of carbon corresponding to 3.27 g of oxygen in the new sample.