When 0.07 moles of ammonium sulfate ((NH4)2SO4) are dissolved in enough water to make 254 milliliters of solution, how many ammonium ions are present?
You have 0.07 mols (NH4)2SO4.
There are 6.02E23 molecules in 1 mol (NH4)2SO4 so there are
6.02E23 x 0.07 = ? molecules (NH4)2SO4 in that 0.07 mols.
Since there are two NH4^+ in 1 molecule of (NH4)2SO4, there must be twice the number of NH4^+ ions as there are (NH4)2SO4 molecules.
To find the number of ammonium ions present in the solution, we need to determine the number of moles of ammonium ions and then convert it to the number of particles using Avogadro's number.
Ammonium sulfate, (NH4)2SO4, dissociates in water to form two ammonium ions (NH4+) and one sulfate ion (SO4^2-).
First, let's calculate the number of moles of ammonium ions:
Since there are two ammonium ions for every one mole of ammonium sulfate, the number of moles of ammonium ions will be twice the moles of ammonium sulfate.
Number of moles of ammonium ions = 2 * 0.07 moles = 0.14 moles
Next, we need to convert the number of moles of ammonium ions to the number of particles by using Avogadro's number.
Avogadro's number (Na) is approximately 6.022 * 10^23 particles per mole.
Number of ammonium ions = Number of moles * Avogadro's number
= 0.14 moles * 6.022 * 10^23 particles/mole
Calculating the above expression:
Number of ammonium ions = 0.14 * 6.022 * 10^23
≈ 8.43 * 10^22 ammonium ions
Therefore, there are approximately 8.43 * 10^22 ammonium ions present in the solution.
To determine the number of ammonium ions present in the solution, we need to know the chemical formula of ammonium sulfate, (NH4)2SO4. In this formula, the ammonium ion (NH4+) is present.
Given that 0.07 moles of ammonium sulfate are dissolved in 254 milliliters of solution, we can use the mole-to-molecule conversion to find the number of ammonium ions.
Step 1: Convert milliliters to liters.
254 milliliters = 254/1000 = 0.254 liters
Step 2: Use the given moles and Avogadro's number (6.022 × 10^23) to find the number of ammonium sulfate molecules.
Number of molecules = moles × Avogadro's number
Number of molecules = 0.07 moles × (6.022 × 10^23 molecules/mole)
Step 3: Multiply the number of ammonium sulfate molecules by the number of ammonium ions per molecule. In (NH4)2SO4, there are 2 ammonium ions present.
Number of ammonium ions = number of molecules × 2
Now you can substitute the values and calculate the number of ammonium ions present in the solution.