What is the molar mass of 2Fe2O3
The Correct Answer and Explanation is :
To calculate the molar mass of (2\text{Fe}_2\text{O}_3), we first need to determine the molar mass of one molecule of iron(III) oxide, (\text{Fe}_2\text{O}_3), and then multiply that by 2.
Step 1: Determine the Molar Mass of (\text{Fe}_2\text{O}_3)
- Identify the Elements and Their Atomic Masses:
- Iron (Fe): The atomic mass is approximately (55.85 \, \text{g/mol}).
- Oxygen (O): The atomic mass is approximately (16.00 \, \text{g/mol}).
- Calculate the Molar Mass of (\text{Fe}_2\text{O}_3):
[
\text{Molar mass of } \text{Fe}_2\text{O}_3 = 2 \times \text{(mass of Fe)} + 3 \times \text{(mass of O)}
]
[
= 2 \times 55.85 \, \text{g/mol} + 3 \times 16.00 \, \text{g/mol}
]
[
= 111.70 \, \text{g/mol} + 48.00 \, \text{g/mol} = 159.70 \, \text{g/mol}
]
Step 2: Calculate the Molar Mass of (2\text{Fe}_2\text{O}_3)
To find the molar mass of (2\text{Fe}_2\text{O}_3), we multiply the molar mass of one (\text{Fe}_2\text{O}_3) by 2:
[
\text{Molar mass of } 2\text{Fe}_2\text{O}_3 = 2 \times 159.70 \, \text{g/mol} = 319.40 \, \text{g/mol}
]
Summary
Thus, the molar mass of (2\text{Fe}_2\text{O}_3) is (319.40 \, \text{g/mol}).
This calculation is crucial in stoichiometry, which allows chemists to determine how much reactant is needed or how much product can be produced in a chemical reaction. Understanding molar mass is foundational in chemistry, enabling calculations related to concentrations, reaction yields, and various other chemical processes. Molar mass helps in converting between grams and moles, thereby facilitating quantitative analysis in laboratory and industrial settings.