Question
The total number of ions in 2,0 g K2SO4
Answers
GPT 3.5
To find the total number of ions in 2.0 g of K2SO4, we need to understand the molecular formula of K2SO4 and the number of ions it dissociates into in water.
The molecular formula of K2SO4 indicates that there are two potassium ions (K+) and one sulfate ion (SO42-) in each formula unit.
The molar mass of K2SO4 is calculated by adding the atomic masses of each element: (2 x Atomic mass of potassium) + Atomic mass of sulfur + (4 x Atomic mass of oxygen)
Atomic mass of potassium (K) = 39.10 g/mol
Atomic mass of sulfur (S) = 32.06 g/mol
Atomic mass of oxygen (O) = 16.00 g/mol
Molar mass of K2SO4 = (2 x 39.10) + 32.06 + (4 x 16.00) = 174.26 g/mol
Using the molar mass, we can calculate the number of moles of K2SO4 in 2.0 g:
Number of moles = mass of substance / molar mass
Number of moles = 2.0 g / 174.26 g/mol ≈ 0.01146 mol
Since each formula unit of K2SO4 yields three ions (2 K+ ions and 1 SO42- ion), we need to multiply the number of moles by the number of ions per formula unit:
Total number of ions = Number of moles x Number of ions per formula unit
Total number of ions = 0.01146 mol x 3 = 0.03438 moles ≈ 2.07 x 10^22 ions
Therefore, the total number of ions in 2.0 g of K2SO4 is approximately 2.07 x 10^22 ions.
The molecular formula of K2SO4 indicates that there are two potassium ions (K+) and one sulfate ion (SO42-) in each formula unit.
The molar mass of K2SO4 is calculated by adding the atomic masses of each element: (2 x Atomic mass of potassium) + Atomic mass of sulfur + (4 x Atomic mass of oxygen)
Atomic mass of potassium (K) = 39.10 g/mol
Atomic mass of sulfur (S) = 32.06 g/mol
Atomic mass of oxygen (O) = 16.00 g/mol
Molar mass of K2SO4 = (2 x 39.10) + 32.06 + (4 x 16.00) = 174.26 g/mol
Using the molar mass, we can calculate the number of moles of K2SO4 in 2.0 g:
Number of moles = mass of substance / molar mass
Number of moles = 2.0 g / 174.26 g/mol ≈ 0.01146 mol
Since each formula unit of K2SO4 yields three ions (2 K+ ions and 1 SO42- ion), we need to multiply the number of moles by the number of ions per formula unit:
Total number of ions = Number of moles x Number of ions per formula unit
Total number of ions = 0.01146 mol x 3 = 0.03438 moles ≈ 2.07 x 10^22 ions
Therefore, the total number of ions in 2.0 g of K2SO4 is approximately 2.07 x 10^22 ions.