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babymother [125]
4 years ago
6

Ferrophosphorus (Fe2P) reacts with pyrite (FeS2) producing iron(II) sulfide and a compound that is 27.87% P and 72.13% S by mass

and has a molar mass of 444.56 g/mol.
a. Determine the empirical and molecular formulas of this compound.
b. Empirical Formula: Molecular Formula:
c. Write a balanced chemical equation for this reaction. Do not include phases.
Chemistry
1 answer:
k0ka [10]4 years ago
8 0

Answer:

The molecular formula of the compound = P_4S_{10}

The empirical formula of the compound = P_2S_{5}

The balanced chemical equation for this reaction:

4Fe_2P+18FeS_2\rightarrow 26FeS+P_4S_{10}

Explanation:

Compound that is 27.87% P and 72.13% S by mass and has a molar mass of 444.56 g/mol.

Molar mass of compound = 444.56 g/mol

Number of phosphorus atom = x

Number of sulfur atom = y

Atomic  mass of phosphorus  31 g/mol

Atomic mass of sulfur = 32 g/mol

Percentage of element in compound :

=\frac{\text{number of atoms}\times text{Atomic mass}}{\text{molar mas of compound}}\times 100

Phosphorus :

27.87\%=\frac{x\times 31 g/mol}{444.56 g/mol}\times 100

x = 4

Sulfur :

72.13\%=\frac{y\times 32 g/mol}{444.56 g/mol}\times 100

y = 10

The molecular formula of the compound = P_4S_{10}

Empirical formula is the simplest chemical formula which depicts the whole number of atoms of each element present in the compound.

The empirical formula of the compound = P_2S_{5}

The balanced chemical equation for this reaction:

4Fe_2P+18FeS_2\rightarrow 26FeS+P_4S_{10}

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Radda [10]

Answer : The percent yield of P_4O_{10} is, 87.7 %

Solution : Given,

Moles of P_4 = 0.200 mole

Moles of O_2 = 0.200 mole

Molar mass of P_4O_{10} = 283.9 g/mole

First we have to calculate the limiting and excess reagent.

The balanced chemical reaction is,

P_4+5O_2\rightarrow P_4O_{10}

From the balanced reaction we conclude that

As, 5 mole of O_2 react with 1 mole of P_4

So, 0.200 moles of O_2 react with \frac{0.200}{5}=0.04 moles of P_4

From this we conclude that, P_4 is an excess reagent because the given moles are greater than the required moles and O_2 is a limiting reagent and it limits the formation of product.

Now we have to calculate the moles of P_4O_{10}

From the reaction, we conclude that

As, 5 mole of O_2 react to give 1 mole of P_4O_{10}

So, 0.200 moles of O_2 react to give \frac{0.200}{5}=0.04 moles of P_4O_{10}

Now we have to calculate the mass of P_4O_{10}

\text{ Mass of }P_4O_{10}=\text{ Moles of }P_4O_{10}\times \text{ Molar mass of }P_4O_{10}

\text{ Mass of }P_4O_{10}=(0.04moles)\times (283.9g/mole)=11.4g

Theoretical yield of P_4O_{10} = 11.4 g

Experimental yield of P_4O_{10} = 10.0 g

Now we have to calculate the percent yield of P_4O_{10}

\% \text{ yield of }P_4O_{10}=\frac{\text{ Experimental yield of }P_4O_{10}}{\text{ Theretical yield of }P_4O_{10}}\times 100

\% \text{ yield of }P_4O_{10}=\frac{10.0g}{11.4g}\times 100=87.7\%

Therefore, the percent yield of P_4O_{10} is, 87.7 %

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