Two different compounds, each containing only phosphorus and chlorine, were decomposed into their constituent elements. One produced 0.2912 g P for every gram of Cl; the other produced 0.1747 g P for every gram of Cl. Show that these results are consistent with the law of multiple proportions.

Question

Chemistry

Kaylyn Cohen

25 August, 00:12

Two different compounds, each containing only phosphorus and chlorine, were decomposed into their constituent elements. One produced 0.2912 g P for every gram of Cl; the other produced 0.1747 g P for every gram of Cl. Show that these results are consistent with the law of multiple proportions.

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Answers (1)

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Jamal · Answer 1

Dalton's law is fulfilled, since the elements in each compound of the example are related to each other in different proportions forming two different compounds; so for case a) and b) you have 15.54% and 9.323% P respectively for each compounds, that are equivalent to 0.2912 g P for every g Cl and the other produced 0,1747 g P for every g Cl.

Explanation:

Dalton's Law (law of multiple proportions):

When two or more elements combine to give more than one compound, a variable mass of one of them joins a fixed mass of the other, and the first is related to canonical and indistinct numbers.

P + Cl ↔ PCl

a) for the compounds A:

⇒ 0.2912 g P / gCl * (35.45 g CL / mol CL) * (mol Cl / mol PCl) * (mol PCl / 66.427 g PCl) = 0.1554 g P / g PCl

⇒ % P = 0.1554 * 100 = 15.54 %

b) for the compunds B:

⇒ 0.1747 g P / g Cl * (35.45 g Cl / mol Cl) * (mol Cl / mol PCl) * (mol PCl / 66.427 g PCl) = 0.09323 g P / g PCl

⇒ % P = 9.323 %