Consider the following data obtained by decomposing samples of carbon dioxide, CO₂, into its component elements.

Mass of CO₂ and Components

Sample	Mass CO2	Mass C	Mass O2
1	44.00 g	12.00 g	32.00 g
2	22.00 g	6.00 g	16.00 g
3	88.00 g	24.00 g	64.00 g

Which of the following statements is consistent with this data?

• A. As the mass of carbon dioxide used increases so does the mass of oxygen.
• B. As the mass of carbon dioxide used increases so does the mass of carbon.
• C. The sum of the masses of carbon and oxygen equals the mass of carbon dioxide used.
• D. The mass of oxygen is about 2.67 times that of carbon in all samples.
• E. All these statements correctly apply to the given data.

Answer: (E)

Verified step by step guidance

1. Step 1: Begin by examining the data provided for each sample of carbon dioxide (CO2). Note the masses of CO2, carbon (C), and oxygen (O2) for each sample.
2. Step 2: For each sample, verify the relationship between the mass of CO2 and the masses of its components, carbon and oxygen. Check if the sum of the masses of carbon and oxygen equals the mass of CO2. This is consistent with the law of conservation of mass.
3. Step 3: Analyze the proportionality between the mass of carbon dioxide and the masses of carbon and oxygen. Observe that as the mass of CO2 increases, the masses of both carbon and oxygen increase proportionally.
4. Step 4: Calculate the ratio of the mass of oxygen to the mass of carbon for each sample. Use the formula: \( \text{Ratio} = \frac{\text{Mass of } O_2}{\text{Mass of } C} \). Check if this ratio is consistent across all samples.
5. Step 5: Conclude by confirming that all the statements provided are consistent with the data. Each statement reflects a fundamental aspect of the decomposition of CO2 into its elements, demonstrating the consistent relationships between the masses of the components.