Determine The Molar Mass Of The Compound { (NH_4)_2SO_4$}$.Given:- { N: 14.01 , \text G/mol}$}$- { H 1.01 , \text{g/mol $}$- { S: 32.07 , \text G/mol}$}$- { O 16.00 , \text{g/mol $}$Choose The
Introduction
In chemistry, determining the molar mass of a compound is a crucial step in understanding its properties and behavior. The molar mass of a compound is the sum of the atomic masses of its constituent elements. In this article, we will determine the molar mass of the compound {(NH_4)_2SO_4$}$, given the atomic masses of its constituent elements.
Understanding the Compound
The compound {(NH_4)_2SO_4$}$ is a salt composed of ammonium ions ({NH_4^+$}{SO_4^{2-}\$}). The ammonium ion is composed of one nitrogen atom, four hydrogen atoms, and four oxygen atoms. The sulfate ion is composed of one sulfur atom and four oxygen atoms.
Atomic Masses of Constituent Elements
The atomic masses of the constituent elements are given as follows:
- {N: 14.01 , \text{g/mol}$}$
- {H: 1.01 , \text{g/mol}$}$
- {S: 32.07 , \text{g/mol}$}$
- {O: 16.00 , \text{g/mol}$}$
Calculating the Molar Mass of the Compound
To calculate the molar mass of the compound, we need to sum the atomic masses of its constituent elements. We will start by calculating the molar mass of the ammonium ion ({NH_4^+$}{SO_4^{2-}\$}) separately.
Molar Mass of the Ammonium Ion
The ammonium ion is composed of one nitrogen atom, four hydrogen atoms, and four oxygen atoms. The atomic masses of these elements are:
- {N: 14.01 , \text{g/mol}$}$
- {H: 1.01 , \text{g/mol}$}$
- {O: 16.00 , \text{g/mol}$}$
The molar mass of the ammonium ion is calculated as follows:
- ${14.01 \, \text{g/mol} + 4 \times 1.01 \, \text{g/mol} + 4 \times 16.00 \, \text{g/mol} = 14.01 \, \text{g/mol} + 4.04 \, \text{g/mol} + 64.00 \, \text{g/mol} = 82.05 \, \text{g/mol}\$}
Molar Mass of the Sulfate Ion
The sulfate ion is composed of one sulfur atom and four oxygen atoms. The atomic masses of these elements are:
- {S: 32.07 , \text{g/mol}$}$
- {O: 16.00 , \text{g/mol}$}$
The molar mass of the sulfate ion is calculated as follows:
- ${32.07 \, \text{g/mol} + 4 \times 16.00 \, \text{g/mol} = 32.07 \, \text{g/mol} + 64.00 \, \text{g/mol} = 96.07 \, \text{g/mol}\$}
Molar Mass of the Compound
The compound {(NH_4)_2SO_4$}$ is composed of two ammonium ions and one sulfate ion. The molar mass of the compound is calculated as follows:
- ${2 \times 82.05 \, \text{g/mol} + 96.07 \, \text{g/mol} = 164.10 \, \text{g/mol} + 96.07 \, \text{g/mol} = 260.17 \, \text{g/mol}\$}
Conclusion
In conclusion, the molar mass of the compound {(NH_4)_2SO_4$}$ is 260.17 g/mol. This value is calculated by summing the atomic masses of its constituent elements, taking into account the number of atoms of each element present in the compound.
References
Frequently Asked Questions
Q: What is the molar mass of the ammonium ion?
A: The molar mass of the ammonium ion is 82.05 g/mol.
Q: What is the molar mass of the sulfate ion?
A: The molar mass of the sulfate ion is 96.07 g/mol.
Q: What is the molar mass of the compound {(NH_4)_2SO_4$}$?
Q: What is the molar mass of a compound?
A: The molar mass of a compound is the sum of the atomic masses of its constituent elements. It is a measure of the mass of one mole of a compound.
Q: How do I calculate the molar mass of a compound?
A: To calculate the molar mass of a compound, you need to sum the atomic masses of its constituent elements, taking into account the number of atoms of each element present in the compound.
Q: What is the difference between atomic mass and molar mass?
A: Atomic mass is the mass of a single atom of an element, while molar mass is the mass of one mole of a compound.
Q: How do I determine the number of atoms of each element in a compound?
A: To determine the number of atoms of each element in a compound, you need to look at the chemical formula of the compound. The chemical formula shows the number of atoms of each element present in the compound.
Q: What is the chemical formula of the compound {(NH_4)_2SO_4$}$?
A: The chemical formula of the compound {(NH_4)_2SO_4$}$ is {(NH_4)_2SO_4$}$. This formula shows that the compound is composed of two ammonium ions and one sulfate ion.
Q: How do I calculate the molar mass of the ammonium ion?
A: To calculate the molar mass of the ammonium ion, you need to sum the atomic masses of its constituent elements, taking into account the number of atoms of each element present in the ion. The atomic masses of the elements present in the ammonium ion are:
- {N: 14.01 , \text{g/mol}$}$
- {H: 1.01 , \text{g/mol}$}$
- {O: 16.00 , \text{g/mol}$}$
The molar mass of the ammonium ion is calculated as follows:
- ${14.01 \, \text{g/mol} + 4 \times 1.01 \, \text{g/mol} + 4 \times 16.00 \, \text{g/mol} = 14.01 \, \text{g/mol} + 4.04 \, \text{g/mol} + 64.00 \, \text{g/mol} = 82.05 \, \text{g/mol}\$}
Q: How do I calculate the molar mass of the sulfate ion?
A: To calculate the molar mass of the sulfate ion, you need to sum the atomic masses of its constituent elements, taking into account the number of atoms of each element present in the ion. The atomic masses of the elements present in the sulfate ion are:
- {S: 32.07 , \text{g/mol}$}$
- {O: 16.00 , \text{g/mol}$}$
The molar mass of the sulfate ion is calculated as follows:
- ${32.07 \, \text{g/mol} + 4 \times 16.00 \, \text{g/mol} = 32.07 \, \text{g/mol} + 64.00 \, \text{g/mol} = 96.07 \, \text{g/mol}\$}
Q: How do I calculate the molar mass of the compound {(NH_4)_2SO_4$}$?
A: To calculate the molar mass of the compound {(NH_4)_2SO_4$}$, you need to sum the molar masses of its constituent ions, taking into account the number of ions present in the compound. The molar masses of the ions present in the compound are:
- {(NH_4)_2^+: 82.05 , \text{g/mol}$
- [$SO_4^2-}$
The molar mass of the compound is calculated as follows:
- [2 \times 82.05 \, \text{g/mol} + 96.07 \, \text{g/mol} = 164.10 \, \text{g/mol} + 96.07 \, \text{g/mol} = 260.17 \, \text{g/mol}\$}
Conclusion
In conclusion, determining the molar mass of a compound is a crucial step in understanding its properties and behavior. By following the steps outlined in this article, you can calculate the molar mass of a compound and gain a deeper understanding of its composition and behavior.
References
Frequently Asked Questions
Q: What is the molar mass of the ammonium ion?
A: The molar mass of the ammonium ion is 82.05 g/mol.
Q: What is the molar mass of the sulfate ion?
A: The molar mass of the sulfate ion is 96.07 g/mol.
Q: What is the molar mass of the compound {(NH_4)_2SO_4$}$?
A: The molar mass of the compound {(NH_4)_2SO_4$}$ is 260.17 g/mol.