Calculate the empirical formula of an oxide of iron which has 69.9% ir...
% of iron by mass = 69.9 % [Given]
% of oxygen by mass = 30.1 % [Given]
Atomic mass of iron = 55.85 amu
Atomic mass of oxygen = 16.00 amu
Relative moles of iron in iron oxide = %mass of iron by mass/Atomic mass of iron = 69.9/55.85 = 1.25
Relative moles of oxygen in iron oxide = %mass of oxygen by mass/Atomic mass of oxygen = 30.01/16=1.88
Simplest molar ratio = 1.25/1.25 : 1.88/1.25
⇒ 1 : 1.5 = 2 : 3
∴ The empirical formula of the iron oxide is Fe2O3.
This question is part of UPSC exam. View all Class 11 courses
Calculate the empirical formula of an oxide of iron which has 69.9% ir...
Empirical Formula of an Oxide of Iron:
To determine the empirical formula of an oxide of iron, we need to calculate the ratio of iron to oxygen atoms in the compound using the given percentages of each element.
Given Information:
- 69.9% iron
- 30.1% dioxygen
Step 1: Convert percentages to grams:
Assuming we have 100 grams of the compound, we can calculate the amount of iron and oxygen present.
Iron:
69.9% of 100g = 69.9g
Oxygen:
30.1% of 100g = 30.1g
Step 2: Convert grams to moles:
Using the molar masses of iron and oxygen, we can convert the grams to moles.
Iron:
Molar mass of iron (Fe) = 55.845 g/mol
Moles of iron = 69.9g / 55.845 g/mol = 1.25 mol
Oxygen:
Molar mass of oxygen (O) = 16.00 g/mol
Moles of oxygen = 30.1g / 16.00 g/mol = 1.88 mol
Step 3: Find the simplest ratio:
Divide the number of moles of each element by the smallest number of moles to find the simplest ratio.
Iron: 1.25 mol / 1.25 mol = 1
Oxygen: 1.88 mol / 1.25 mol = 1.504
Step 4: Round to the nearest whole number:
Since we need the empirical formula to have whole numbers, we round the ratio to the nearest whole number.
Iron: 1
Oxygen: 2
Step 5: Write the empirical formula:
The empirical formula of the oxide of iron is FeO, indicating that it contains one iron atom and two oxygen atoms.
Explanation:
The empirical formula represents the simplest whole number ratio of atoms in a compound. In this case, the ratio of iron to oxygen atoms is 1:2, which is consistent with the empirical formula FeO. This means that for every one iron atom, there are two oxygen atoms in the compound. The percentages of iron and oxygen provided are used to determine the amount of each element in grams, which is then converted to moles using their respective molar masses. By finding the simplest ratio of moles, we can determine the empirical formula of the compound.
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.