Calculate molar mass of copper hydroxide, Cu(OH)2.
The correct answer and explanation is :
To calculate the molar mass of copper(II) hydroxide, Cu(OH)₂, we need to consider the atomic masses of each element present in the compound and sum them according to the chemical formula. Here’s how to do it:
Step 1: Identify the elements and their atomic masses
- Copper (Cu): The atomic mass of copper is approximately 63.55 g/mol.
- Oxygen (O): The atomic mass of oxygen is approximately 16.00 g/mol.
- Hydrogen (H): The atomic mass of hydrogen is approximately 1.008 g/mol.
Step 2: Breakdown of the formula Cu(OH)₂
- The formula Cu(OH)₂ indicates that there is:
- 1 copper (Cu) atom.
- 2 hydroxide (OH) groups, each consisting of 1 oxygen atom and 1 hydrogen atom.
Step 3: Calculate the contribution to the molar mass
- The contribution of copper to the molar mass is:
[
1 \times 63.55 = 63.55 \, \text{g/mol}
] - The contribution of oxygen atoms:
[
2 \times 16.00 = 32.00 \, \text{g/mol}
] - The contribution of hydrogen atoms:
[
2 \times 1.008 = 2.016 \, \text{g/mol}
]
Step 4: Sum the total molar mass
Now, we add up all the contributions:
[
\text{Molar mass of Cu(OH)₂} = 63.55 + 32.00 + 2.016 = 97.566 \, \text{g/mol}
]
Final Answer:
The molar mass of copper(II) hydroxide, Cu(OH)₂, is approximately 97.57 g/mol.
Explanation:
The molar mass represents the mass of one mole of a compound, which is equivalent to the weight in grams of that compound’s molecular formula. In this case, copper(II) hydroxide contains one copper atom, two oxygen atoms, and two hydrogen atoms. The atomic masses of these elements are summed based on the chemical formula to obtain the total molar mass. This molar mass is useful in various chemical calculations, such as determining the number of moles of Cu(OH)₂ in a given mass, or vice versa. The precise measurement of the molar mass allows chemists to quantify substances and perform stoichiometric calculations in reactions involving copper(II) hydroxide.