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Answer :
To determine whether the two samples of potassium bromide are consistent with the law of constant composition, we need to compare the ratio of potassium to bromine in each sample. The law of constant composition states that a chemical compound always contains its component elements in a fixed ratio by mass, regardless of the sample size or source.
Here are the steps to solve the problem:
1. First Sample:
- We have 7.82 g of potassium and 16.0 g of bromine.
- To find the ratio of potassium to bromine, divide the mass of potassium by the mass of bromine:
[tex]\[
\text{Ratio}_1 = \frac{7.82 \, \text{g potassium}}{16.0 \, \text{g bromine}} = 0.48875
\][/tex]
2. Second Sample:
- We have 17.8 g of potassium and 36.3 g of bromine.
- Similarly, calculate the ratio for the second sample:
[tex]\[
\text{Ratio}_2 = \frac{17.8 \, \text{g potassium}}{36.3 \, \text{g bromine}} = 0.49036
\][/tex]
3. Comparison:
- We compare the two ratios. For the law of constant composition to hold, the ratios should be the same or very close.
- [tex]\(\text{Ratio}_1 = 0.48875\)[/tex] and [tex]\(\text{Ratio}_2 = 0.49036\)[/tex]
Since the ratios are not exactly equal, the slight difference suggests that these results are not perfectly consistent with the law of constant composition. In a scientific context, discrepancies in measurements could be due to experimental error, but based on the given data, the samples do not match the law precisely.
Here are the steps to solve the problem:
1. First Sample:
- We have 7.82 g of potassium and 16.0 g of bromine.
- To find the ratio of potassium to bromine, divide the mass of potassium by the mass of bromine:
[tex]\[
\text{Ratio}_1 = \frac{7.82 \, \text{g potassium}}{16.0 \, \text{g bromine}} = 0.48875
\][/tex]
2. Second Sample:
- We have 17.8 g of potassium and 36.3 g of bromine.
- Similarly, calculate the ratio for the second sample:
[tex]\[
\text{Ratio}_2 = \frac{17.8 \, \text{g potassium}}{36.3 \, \text{g bromine}} = 0.49036
\][/tex]
3. Comparison:
- We compare the two ratios. For the law of constant composition to hold, the ratios should be the same or very close.
- [tex]\(\text{Ratio}_1 = 0.48875\)[/tex] and [tex]\(\text{Ratio}_2 = 0.49036\)[/tex]
Since the ratios are not exactly equal, the slight difference suggests that these results are not perfectly consistent with the law of constant composition. In a scientific context, discrepancies in measurements could be due to experimental error, but based on the given data, the samples do not match the law precisely.
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