Calculate the mass 3 .25 mol of sodium hydrogen sulfate, NaHSO4, in a container of bathroom cleaner.
The Correct Answer and Explanation is:
Correct Answer:
To calculate the mass of 3.25 mol of sodium hydrogen sulfate (NaHSO₄), we use the formula:Mass=moles×molar mass\text{Mass} = \text{moles} \times \text{molar mass}Mass=moles×molar mass
Step 1: Calculate the molar mass of NaHSO₄
- Sodium (Na) = 22.99 g/mol
- Hydrogen (H) = 1.01 g/mol
- Sulfur (S) = 32.07 g/mol
- Oxygen (O) = 16.00 g/mol × 4 = 64.00 g/mol
Molar mass of NaHSO₄=22.99+1.01+32.07+64.00=120.07 g/mol\text{Molar mass of NaHSO₄} = 22.99 + 1.01 + 32.07 + 64.00 = 120.07\ \text{g/mol}Molar mass of NaHSO₄=22.99+1.01+32.07+64.00=120.07 g/mol
Step 2: Multiply by the number of molesMass=3.25 mol×120.07 g/mol=390.2275 g\text{Mass} = 3.25\ \text{mol} \times 120.07\ \text{g/mol} = 390.2275\ \text{g}Mass=3.25 mol×120.07 g/mol=390.2275 gMass≈390.23 g\boxed{\text{Mass} \approx 390.23\ \text{g}}Mass≈390.23 g
Explanation:
Sodium hydrogen sulfate (NaHSO₄) is a compound commonly used in bathroom cleaning products because of its acidic nature, which helps remove mineral deposits and soap scum. In chemistry, when the number of moles of a substance is known and we need to determine its mass, the relationship between moles and mass is straightforward and depends on the compound’s molar mass.
The molar mass is the sum of the atomic masses of all atoms in one molecule of the substance. In this case, NaHSO₄ contains one atom each of sodium, hydrogen, and sulfur, and four atoms of oxygen. After calculating the total molar mass as 120.07 g/mol, we multiply this value by the number of moles provided (3.25 mol) to find the total mass of sodium hydrogen sulfate in the sample.
This calculation is commonly used in both academic chemistry and practical applications such as formulation of chemical products. Understanding how to relate moles and mass is a foundational concept in stoichiometry and chemical measurements.
