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Carbon and oxygen form two compounds. Ca...

Carbon and oxygen form two compounds. Carbon content in one of them is 42.9% and in the others is 27.3%. The given data is in agreement with

A

law of conservation of mass

B

law of multiple proportions

C

law of reciprocal proportions

D

law of definite proportions

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the compounds formed by carbon and oxygen, we will follow these steps: ### Step 1: Identify the percentage of carbon in each compound. - The first compound has a carbon content of 42.9%. - The second compound has a carbon content of 27.3%. ### Step 2: Assume a mass for the compounds to facilitate calculations. - Let's assume we have 100 grams of each compound for simplicity. ### Step 3: Calculate the mass of carbon and oxygen in each compound. - For the first compound: - Mass of carbon = 42.9 grams - Mass of oxygen = 100 grams - 42.9 grams = 57.1 grams - For the second compound: - Mass of carbon = 27.3 grams - Mass of oxygen = 100 grams - 27.3 grams = 72.7 grams ### Step 4: Calculate the ratio of the mass of carbon to the mass of oxygen for each compound. - For the first compound: - Ratio (C:O) = 42.9 grams / 57.1 grams = 0.751 - For the second compound: - Ratio (C:O) = 27.3 grams / 72.7 grams = 0.376 ### Step 5: Determine the ratio of the masses of carbon in both compounds. - We need to find the ratio of the masses of carbon reacting with the same mass of oxygen. - The ratio of the two calculated ratios is: - 0.751 : 0.376 - To simplify, we can divide both sides by 0.376: - Ratio = 0.751 / 0.376 = 2 ### Step 6: Conclude based on the law of multiple proportions. - According to the law of multiple proportions, when two elements form more than one compound, the ratios of the masses of one element that combine with a fixed mass of the other element can be expressed in simple whole numbers. - In our case, the ratio of carbon in the two compounds is 2:1 when combined with the same mass of oxygen. ### Conclusion: The given data is in agreement with the **law of multiple proportions**. ---
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