Respuesta :
Answer
1917149.087 grams of (NH₄)₂SO₄ are in 87.37 x 10²⁶ atoms of (NH₄)₂SO₄.
Explanation
Given that:
The number of atoms of (NH₄)₂SO₄ = 87.37 x 10²⁶ atoms
What to find:
To find the grams of (NH₄)₂SO₄ in 87.37 x 10²⁶ atoms of (NH₄)₂SO₄.
Step-by-step solution:
Step 1: Convert 87.37 x 10²⁶ atoms of(NH₄)₂SO₄ to moles.
Conversion factor: One mole of a substance will contain 6.022 × 10²³ atoms of that substance
[tex]\begin{gathered} 1\text{ }mole\left(NH₄\right)₂SO₄=6.022×10²³\text{ }atoms \\ \\ x=87.37×10²⁶\text{ }atoms \\ \\ x=\frac{87.37×10²⁶\text{ }atoms}{6.022×10²³\text{ }atoms}\times1\text{ }mole\left(NH₄\right)₂SO₄ \\ \\ x=14508.46895\text{ }mol\left(NH₄\right)₂SO₄ \end{gathered}[/tex]Step 2: Convert 14508.46895 moles of (NH₄)₂SO₄ to grams.
Using the molar mass of (NH₄)₂SO₄ = 132.14 g/mol and the mole formula below, the grams of (NH₄)₂SO₄ can be determined as follows:
[tex]\begin{gathered} Moles=\frac{Mass}{Molar\text{ }mass} \\ \\ Mass=Moles\times Molar\text{ }mass \\ \\ Mass\text{ }of\text{ }\left(NH₄\right)₂SO₄=14508.46895\text{ }mol\times132.14\text{ }g\text{/}mol \\ \\ Mass\text{ }of\text{ }\left(NH₄\right)₂SO₄=1917149.087\text{ }g \end{gathered}[/tex]Therefore, 1917149.087 grams of (NH₄)₂SO₄ are in 87.37 x 10²⁶ atoms of (NH₄)₂SO₄.
