Carbon dioxide contains `27.27%` of carbon disulphide contains `15.79%` of carbon and sulphur dioxide contains `50%` of sulphur this data is an agreement with

Options

A. Law of conservation of mass
B. Law of definite proportions
C. Law of multiple proportions
D. Law of reciprocal proportions

Answer

To solve the question, we need to analyze the given percentages of carbon and sulfur in the compounds and determine how they relate to the law of reciprocal proportions.

### Step-by-Step Solution:

1. **Identify the Percentages**:
- Carbon dioxide (CO₂) contains 27.27% carbon.
- Carbon disulfide (CS₂) contains 15.79% carbon.
- Sulfur dioxide (SO₂) contains 50% sulfur.

2. **Assume a Fixed Mass**:
- To simplify calculations, assume a fixed mass of 100 grams for each compound.
- This means:
- In 100 grams of CO₂, there are 27.27 grams of carbon.
- In 100 grams of CS₂, there are 15.79 grams of carbon.
- In 100 grams of SO₂, there are 50 grams of sulfur.

3. **Calculate the Mass of Sulfur in CS₂**:
- The molar mass of CS₂ is approximately 76.14 g/mol (C = 12.01 g/mol, S = 32.07 g/mol).
- The mass of sulfur in 100 grams of CS₂ can be calculated as follows:
- Mass of sulfur in CS₂ = (Mass of CS₂) - (Mass of carbon)
- Mass of sulfur = 100 g - 15.79 g = 84.21 g.

4. **Determine the Ratio of Masses**:
- Now, we will find the ratio of the masses of sulfur and carbon in the compounds:
- For CO₂:
- Mass of carbon = 27.27 g
- Mass of oxygen = 100 g - 27.27 g = 72.73 g
- For SO₂:
- Mass of sulfur = 50 g
- Mass of oxygen = 100 g - 50 g = 50 g
- For CS₂:
- Mass of carbon = 15.79 g
- Mass of sulfur = 84.21 g

5. **Calculate the Ratios**:
- The ratio of carbon in CO₂ to sulfur in CS₂:
- \( \text{Ratio} = \frac{27.27 \text{ g (C in CO₂)}}{15.79 \text{ g (C in CS₂)}} \)
- The ratio of sulfur in SO₂ to sulfur in CS₂:
- \( \text{Ratio} = \frac{50 \text{ g (S in SO₂)}}{84.21 \text{ g (S in CS₂)}} \)

6. **Apply the Law of Reciprocal Proportions**:
- According to the law of reciprocal proportions, if two elements combine with a fixed mass of a third element, the ratios of their masses will be in a simple ratio.
- Here, the calculated ratios should reflect this law, confirming that the data is in agreement with the law of reciprocal proportions.

### Conclusion:
The data provided in the question is consistent with the law of reciprocal proportions, as the ratios of the masses of carbon and sulfur in the respective compounds show a simple ratio.