Answer: The mass of
present in the sample is 1.440 g
Step-by-step explanation:
The chemical equation follows:
![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](https://img.qammunity.org/2020/formulas/chemistry/high-school/xmdit50ggbuhne1k3a17ubuwgu42ks6hba.png)
From the above equations, it is visible that number of moles of
is formed by half the number of moles of
![FeSO_4.7H_2O](https://img.qammunity.org/2020/formulas/chemistry/high-school/qtlmohtsbogzxicbwnb5h1kophkyjzx42q.png)
To calculate the number of moles, we use the equation:
.....(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:
![\text{Moles of iron (III) oxide}=(0.413g)/(159.7g/mol)=2.59* 10^(-3)mol](https://img.qammunity.org/2020/formulas/chemistry/high-school/rwwkze7hajggkrmf21wkwah0nav3r2n14z.png)
Calculating number of moles of
![FeSO_4.7H_2O](https://img.qammunity.org/2020/formulas/chemistry/high-school/qtlmohtsbogzxicbwnb5h1kophkyjzx42q.png)
Number of moles of
![FeSO_4.7H_2O=2* n_(Fe_2O_3)=2* 2.59* 10^(-3)=5.18* 10^(-3)mol](https://img.qammunity.org/2020/formulas/chemistry/high-school/p8f4fudm0qpi4ex6xkgmj8uuqde2e7h1al.png)
Calculating the mass of
using equation 1, we get:
Moles of
![FeSO_4.7H_2O=5.18* 10^(-3)mol](https://img.qammunity.org/2020/formulas/chemistry/high-school/5c2ou66q259g4tellv78lziybruly6mc9b.png)
Molar mass of
= 278.01 g/mol
Putting values in equation 1, we get:
![5.18* 10^(-3)mol=\frac{\text{Mass of }FeSO_4.7H_2O}{278.01g/mol}\\\\\text{Mass of }FeSO_4.7H_2O=(5.18* 10^(-3)mol* 278.01g/mol)=1.440g](https://img.qammunity.org/2020/formulas/chemistry/high-school/lhgja29sj2ivj8g4hfutzod59zkbisb6ga.png)
Hence, the mass of
present in the sample is 1.440 g