Calculate the mass, in grams, for each of the following:e. 2.08 moles of (NH₄)₂SO₄

Verified step by step guidance

1. Identify the molar mass of each element in the compound \((NH_4)_2SO_4\).
2. Calculate the molar mass of \((NH_4)_2SO_4\) by adding the molar masses of all atoms in the formula.
3. Use the formula: \( \text{mass} = \text{moles} \times \text{molar mass} \) to find the mass.
4. Substitute the given number of moles (2.08 moles) and the calculated molar mass into the formula.
5. Perform the multiplication to find the mass in grams.

Key Concepts

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is calculated by summing the atomic masses of all the atoms in a molecule. For (NH₄)₂SO₄, the molar mass can be determined by adding the masses of nitrogen, hydrogen, sulfur, and oxygen in the compound, which is essential for converting moles to grams.

Mole Concept

The mole is a fundamental unit in chemistry that quantifies the amount of substance. One mole contains approximately 6.022 x 10²³ entities, such as atoms or molecules. Understanding the mole concept is crucial for converting between the number of moles and the mass of a substance, as it allows chemists to relate macroscopic quantities to microscopic particles.

Conversion Factor

A conversion factor is a numerical factor used to convert one unit of measurement to another. In the context of chemistry, it often involves using the molar mass of a substance to convert moles to grams. For example, to find the mass of (NH₄)₂SO₄ in grams, you multiply the number of moles by the molar mass, effectively using the conversion factor of grams per mole.