Convert 0.227 mol potassium sulfate, K2SO4, into mass (in grams).
The Correct Answer and Explanation is:
To convert moles of potassium sulfate (K2SO4) into mass (in grams), we need to follow these steps:
1. Find the Molar Mass of K2SO4
The molar mass of K2SO4 can be calculated by adding the atomic masses of each element in the compound:
- Potassium (K) has an atomic mass of approximately 39.1 g/mol.
- Sulfur (S) has an atomic mass of approximately 32.1 g/mol.
- Oxygen (O) has an atomic mass of approximately 16.0 g/mol.
Now, calculate the molar mass of K2SO4:
- Potassium: 2×39.1=78.2 g/mol2 \times 39.1 = 78.2 \, \text{g/mol}2×39.1=78.2g/mol
- Sulfur: 1×32.1=32.1 g/mol1 \times 32.1 = 32.1 \, \text{g/mol}1×32.1=32.1g/mol
- Oxygen: 4×16.0=64.0 g/mol4 \times 16.0 = 64.0 \, \text{g/mol}4×16.0=64.0g/mol
Adding them together gives the molar mass of K2SO4:78.2+32.1+64.0=174.3 g/mol78.2 + 32.1 + 64.0 = 174.3 \, \text{g/mol}78.2+32.1+64.0=174.3g/mol
2. Convert Moles to Grams
To convert moles of a substance into grams, use the formula:Mass (g)=Moles×Molar Mass (g/mol)\text{Mass (g)} = \text{Moles} \times \text{Molar Mass (g/mol)}Mass (g)=Moles×Molar Mass (g/mol)
We are given that the amount of K2SO4 is 0.227 mol. Using the molar mass we just calculated:Mass (g)=0.227 mol×174.3 g/mol\text{Mass (g)} = 0.227 \, \text{mol} \times 174.3 \, \text{g/mol}Mass (g)=0.227mol×174.3g/molMass (g)=39.6 g\text{Mass (g)} = 39.6 \, \text{g}Mass (g)=39.6g
Conclusion
So, the mass of 0.227 mol of potassium sulfate (K2SO4) is 39.6 grams. This calculation involves finding the molar mass of the compound and then multiplying the number of moles by that molar mass to get the mass in grams.
