what is the mass of 5.8 moles of H2S
The correct answer and explanation is:
To find the mass of 5.8 moles of hydrogen sulfide (H₂S), the molecular weight of H₂S needs to be calculated. The molecular weight is the sum of the atomic weights of the atoms in the molecule. The atomic weight of hydrogen (H) is approximately 1.008 g/mol, and the atomic weight of sulfur (S) is about 32.06 g/mol.
For H₂S:
- There are two hydrogen atoms, so the mass from hydrogen is 2×1.008=2.016 g/mol2 \times 1.008 = 2.016 \, \text{g/mol}.
- The mass from sulfur is 32.06 g/mol.
Thus, the molecular weight of H₂S is: Molecular weight of H₂S=2.016+32.06=34.076 g/mol.\text{Molecular weight of H₂S} = 2.016 + 32.06 = 34.076 \, \text{g/mol}.
Now, to find the mass of 5.8 moles of H₂S, use the formula: Mass=moles×molecular weight.\text{Mass} = \text{moles} \times \text{molecular weight}.
Substitute the given values: Mass=5.8 moles×34.076 g/mol=197.64 g.\text{Mass} = 5.8 \, \text{moles} \times 34.076 \, \text{g/mol} = 197.64 \, \text{g}.
Thus, the mass of 5.8 moles of H₂S is approximately 197.64 grams.
This calculation follows from the basic principle that one mole of any substance contains Avogadro’s number of molecules (approximately 6.022×10236.022 \times 10^{23} molecules), and the mass of one mole of a substance is its molecular weight in grams. This relationship allows for the conversion between moles and grams for any given substance.