sorry i forgot some of the units in the initial posting
8.00g of NaOH are dissolved in water to make 4.00L of solution. What is the concentration of hydronium ions, , in this solution?
Figure the OH concentraion, then, [H+][OH-]=10^-14
and you can determine the hydronium concentration.
To find the concentration of hydronium ions in the solution, we first need to determine the number of moles of sodium hydroxide (NaOH) in the solution.
1. Convert the given mass of NaOH to moles using its molar mass.
The molar mass of NaOH is:
Na = 22.99 g/mol
O = 16.00 g/mol
H = 1.01 g/mol
Therefore, the molar mass of NaOH = 22.99 + 16.00 + 1.01 = 39.00 g/mol
Number of moles of NaOH = Mass of NaOH / Molar mass of NaOH
Number of moles of NaOH = 8.00 g / 39.00 g/mol
2. Calculate the concentration of hydronium ions, [H3O+], using the number of moles of NaOH and the volume of the solution.
Concentration = Number of moles / Volume
The volume of the solution is given as 4.00 L.
Therefore, the concentration of hydronium ions = Number of moles of NaOH / Volume of the solution
Substitute the values to find the answer.
To find the concentration of hydronium ions in a solution, you need to know the concentration of the hydroxide ions. Since NaOH is a strong base, it completely dissociates in water to form Na+ cations and OH- anions. The concentration of hydroxide ions is equal to the concentration of NaOH.
In this case, you are given that 8.00g of NaOH is dissolved in 4.00L of water.
To determine the concentration of hydroxide ions, you need to convert the mass of NaOH into moles using its molar mass. The molar mass of NaOH is 22.99 g/mol (Na) + 16.00 g/mol (O) + 1.01 g/mol (H) = 39.00 g/mol.
Number of moles of NaOH = Mass of NaOH / Molar mass of NaOH
= 8.00g / 39.00 g/mol
Next, you need to convert the number of moles of NaOH to concentration using the provided volume.
Concentration of NaOH = Number of moles of NaOH / Volume of solution
= (8.00g / 39.00 g/mol) / 4.00L
Finally, since the concentration of hydroxide ions (OH-) is equal to the concentration of NaOH, the concentration of hydronium ions (H3O+) will be the same.
So, the concentration of hydronium ions in this solution is (8.00g / 39.00 g/mol) / 4.00L.