Respuesta :
Answer: The mass of [tex]FeSO_4.7H_2O[/tex] present in the sample is 1.440 g
Explanation:
The chemical equation follows:
[tex]FeSO_4.7H_2O+HNO_3\rightarrow Fe^{+3}\\\\2Fe^{3+}+NH_3\rightarrow Fe_2O_3.xH_2O\\\\Fe_2O_3.xH_2O\rightarrow Fe_2O_3[/tex]
From the above equations, it is visible that number of moles of [tex]Fe_2O_3[/tex] is formed by half the number of moles of [tex]FeSO_4.7H_2O[/tex]
To calculate the number of moles, we use the equation:
[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex] .....(1)
Given mass of iron (III) oxide = 0.413 g
Molar mass of iron (III) oxide = 159.70 g/mol
Putting values in equation 1, we get:
[tex]\text{Moles of iron (III) oxide}=\frac{0.413g}{159.7g/mol}=2.59\times 10^{-3}mol[/tex]
Calculating number of moles of [tex]FeSO_4.7H_2O[/tex]
Number of moles of [tex]FeSO_4.7H_2O=2\times n_{Fe_2O_3}=2\times 2.59\times 10^{-3}=5.18\times 10^{-3}mol[/tex]
Calculating the mass of [tex]FeSO_4.7H_2O[/tex] using equation 1, we get:
Moles of [tex]FeSO_4.7H_2O=5.18\times 10^{-3}mol[/tex]
Molar mass of [tex]FeSO_4.7H_2O[/tex] = 278.01 g/mol
Putting values in equation 1, we get:
[tex]5.18\times 10^{-3}mol=\frac{\text{Mass of }FeSO_4.7H_2O}{278.01g/mol}\\\\\text{Mass of }FeSO_4.7H_2O=(5.18\times 10^{-3}mol\times 278.01g/mol)=1.440g[/tex]
Hence, the mass of [tex]FeSO_4.7H_2O[/tex] present in the sample is 1.440 g