What does 1/5 have to do with this equation?     You take three compounds, each consisting of two elements (X, Y, and/or Z), and decompose them to their respective ele- ments. To determine the relative masses of X, Y, and Z, you collect and weigh the elements, obtaining the following data:   What are the assumptions needed to solve this problem? b. What are the relative masses of X, Y, and Z? c. What are the chemical formulas of the three compounds? d. If you decompose 21 g of compound XY, how much of each element is present?

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What does 1/5 have to do with this equation?

 

 

You take three compounds, each consisting of two elements (X, Y, and/or Z), and decompose them to their respective ele- ments. To determine the relative masses of X, Y, and Z, you collect and weigh the elements, obtaining the following data:

 

What are the assumptions needed to solve this problem? b. What are the relative masses of X, Y, and Z?
c. What are the chemical formulas of the three compounds? d. If you decompose 21 g of compound XY, how much of

each element is present?

### Determining the Formula of Compound XY

#### Given Data:

Below is a table summarizing the experiments carried out to determine the formula of compound XY. Each row represents a different experiment with measurements of the masses of elements X and Y in their respective compounds.

| Experiment No. | Elements in Compound | Mass of Element X | Mass of Element Y |
|----------------|----------------------|-------------------|-------------------|
| 1              | XY                   | 0.4 g             | 4.2 g             |
| 2              | YZ                   | 1.4 g             | 1.0 g             |
| 3              | XY                   | 2.0 g             | 7.0 g             |

#### Assumptions:
1. The formula of the compound in experiment 1 is assumed to be XY.
2. The formula of the compound in experiment 2 is considered to be YZ.

#### Analysis:
For experiment 3, we scale the masses of X and Y to match the ratio observed in experiment 1 where compound was determined as XY.

**Scaling Calculation for Experiment 3:**

To match the mass ratios of compound XY from experiment 1:
- Mass of X:
  \[
  X = 2 \, \text{g} \times \frac{1}{5} = 0.4 \, \text{g}
  \]
- Mass of Y:
  \[
  Y = 7 \, \text{g} \times \frac{1}{5} = 4.2 \, \text{g}
  \]

These calculations confirm that the masses obtained in experiment 3, when scaled appropriately, give the same mass values for X and Y as observed in experiment 1 for XY. This suggests that the compound in experiment 3 also has the formula XY.
Transcribed Image Text:### Determining the Formula of Compound XY #### Given Data: Below is a table summarizing the experiments carried out to determine the formula of compound XY. Each row represents a different experiment with measurements of the masses of elements X and Y in their respective compounds. | Experiment No. | Elements in Compound | Mass of Element X | Mass of Element Y | |----------------|----------------------|-------------------|-------------------| | 1 | XY | 0.4 g | 4.2 g | | 2 | YZ | 1.4 g | 1.0 g | | 3 | XY | 2.0 g | 7.0 g | #### Assumptions: 1. The formula of the compound in experiment 1 is assumed to be XY. 2. The formula of the compound in experiment 2 is considered to be YZ. #### Analysis: For experiment 3, we scale the masses of X and Y to match the ratio observed in experiment 1 where compound was determined as XY. **Scaling Calculation for Experiment 3:** To match the mass ratios of compound XY from experiment 1: - Mass of X: \[ X = 2 \, \text{g} \times \frac{1}{5} = 0.4 \, \text{g} \] - Mass of Y: \[ Y = 7 \, \text{g} \times \frac{1}{5} = 4.2 \, \text{g} \] These calculations confirm that the masses obtained in experiment 3, when scaled appropriately, give the same mass values for X and Y as observed in experiment 1 for XY. This suggests that the compound in experiment 3 also has the formula XY.
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