Respuesta :
Answer:
The molecular formula of the compound = [tex]P_4S_{10}[/tex]
The empirical formula of the compound = [tex]P_2S_{5}[/tex]
The balanced chemical equation for this reaction:
[tex]4Fe_2P+18FeS_2\rightarrow 26FeS+P_4S_{10}[/tex]
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 :
[tex]=\frac{\text{number of atoms}\times text{Atomic mass}}{\text{molar mas of compound}}\times 100[/tex]
Phosphorus :
[tex]27.87\%=\frac{x\times 31 g/mol}{444.56 g/mol}\times 100[/tex]
x = 4
Sulfur :
[tex]72.13\%=\frac{y\times 32 g/mol}{444.56 g/mol}\times 100[/tex]
y = 10
The molecular formula of the compound = [tex]P_4S_{10}[/tex]
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 = [tex]P_2S_{5}[/tex]
The balanced chemical equation for this reaction:
[tex]4Fe_2P+18FeS_2\rightarrow 26FeS+P_4S_{10}[/tex]
The empirical and molecular formulas of the compound are;
empirical formula = P₂S₅
molecular formula = P₄S₁₀
The balanced chemical reaction is; 4Fe₂P + 18FeS₂ → 26FeS + P₄S₁₀
We are given;
%composition of Phosphorus(P) by mass = 27.87%
%composition of Sulphur(S) by mass = 72.13%
Molar mass of compound = 444.56 g/mol
Now, from tables we have;
Molar mass of P = 31 g/mol
Molar mass of S = 32 g/mol
Thus;
% of element in compound = [(molar mass of element × number of atoms)/(molar mass of compound)] × 100%
For P;
27.87% = ((31 × n_p)/444.56) × 100%
n_p = 4 atoms
For S;
72.13% = ((32 × n_s)/444.56) × 100%
n_s ≈ 10 atoms
Therefore the molecular formula is P₄S₁₀
Now, empirical formula is basically the simplest form of the molecular formula. 4 and 10 both have 2 as a common divisor. Thus, the empirical formula is P₂S₅
Thus, the balanced chemical equation is;
4Fe₂P + 18FeS₂ → 26FeS + P₄S₁₀
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