What is the mass of 0.89 mol of CaCl2?
Understand the Problem
The question is asking for the mass of 0.89 moles of calcium chloride (CaCl2). To find this, we will use the molar mass of CaCl2 and multiply it by the number of moles (0.89). The molar mass of CaCl2 can be calculated from the atomic masses of calcium and chlorine.
Answer
$98.83 \, \text{g}$
Answer for screen readers
The mass of 0.89 moles of calcium chloride (CaCl2) is approximately $98.83 , \text{g}$.
Steps to Solve
- Calculate the Molar Mass of Calcium Chloride (CaCl2)
First, we need to find the atomic masses of calcium (Ca) and chlorine (Cl).
- Atomic mass of Ca: approximately 40.08 g/mol
- Atomic mass of Cl: approximately 35.45 g/mol
Now, we can calculate the molar mass of CaCl2.
The formula for the molar mass of CaCl2 is: $$ \text{Molar mass} = \text{mass of Ca} + 2 \times \text{mass of Cl} $$
So, $$ \text{Molar mass of CaCl2} = 40.08 , \text{g/mol} + 2 \times 35.45 , \text{g/mol} $$
- Perform the Calculation for Molar Mass
Now, let’s calculate:
$$ \text{Molar mass of CaCl2} = 40.08 , \text{g/mol} + 70.90 , \text{g/mol} = 110.98 , \text{g/mol} $$
- Calculate the Mass of 0.89 Moles of CaCl2
To find the mass of 0.89 moles of CaCl2, we will use the formula:
$$ \text{Mass} = \text{Number of moles} \times \text{Molar mass} $$
Substituting the values:
$$ \text{Mass} = 0.89 , \text{moles} \times 110.98 , \text{g/mol} $$
- Perform the Final Calculation
Now, we calculate the mass:
$$ \text{Mass} = 0.89 \times 110.98 \approx 98.83 , \text{g} $$
The mass of 0.89 moles of calcium chloride (CaCl2) is approximately $98.83 , \text{g}$.
More Information
The mole is a fundamental concept in chemistry that helps in measuring the amount of substance. Calcium chloride is commonly used for de-icing roads and as a drying agent.
Tips
- Forgetting to multiply the atomic mass of chlorine by two when calculating the molar mass of CaCl2.
- Incorrectly using the molar mass in the final calculation, which can lead to wrong mass results.