An antiseptic solution contains hydrogen peroxide,H2O2,in water. The solution is 0.600 m
H2O2. What is the mole fraction of hydrogen peroxide?�
0.600 m means 0.600 mols H2O2 in 1 kg water.
mols H2O2 = 0.600
mols H2O = 1000/18.02 = 55.5
Total mols = 0.600 + 55.5 = ?
X(H2O2) = mole fraction H2O2 = mols H2O2/total mols = ?
0.0117
0.0117
Well, let me break it down for you.
In order to find the mole fraction of hydrogen peroxide (H2O2) in the solution, we need to figure out how many moles of H2O2 there are relative to the total moles of all components in the solution.
First, we need to calculate the moles of H2O2. To do that, we can use the formula:
Moles of H2O2 = Molarity of H2O2 × Volume of the solution
But wait! We don't have the volume of the solution. So, let's assume we have 1 liter of the solution to make things easier (because that's the amount typically used for molarity calculations).
Now, let's plug in the values:
Moles of H2O2 = 0.600 mol/L × 1 L
Moles of H2O2 = 0.600 moles
Next, we need to find the moles of water in the solution. Since the formula of water is just H2O, we don't need to do any calculations because water is already in a 1:1 ratio with H2O2.
So, the total moles of all components in the solution are 0.600 moles of H2O2 (because we assumed 1 liter of solution), and 0.600 moles of water.
Finally, to find the mole fraction of H2O2, we divide the moles of H2O2 by the total moles of all components:
Mole fraction of H2O2 = Moles of H2O2 / Total moles
Mole fraction of H2O2 = 0.600 moles / (0.600 moles + 0.600 moles)
Mole fraction of H2O2 ≈ 0.500
So, the mole fraction of hydrogen peroxide (H2O2) in the solution is approximately 0.500.
To find the mole fraction of hydrogen peroxide in the solution, we need to know the total number of moles of solute (H2O2) and the total number of moles of solvent (water).
First, let's find the moles of solute (H2O2).
Given:
Molarity of H2O2 solution (concentration) = 0.600 M
Volume of solution is not given.
Since we don't have the volume, we cannot directly calculate the moles. So, assuming that the volume is 1 liter, we can calculate the moles using the definition of molarity.
Molarity (M) = Moles of solute / Volume of solution (in liters)
0.600 M = Moles of H2O2 / 1 L
Moles of H2O2 = 0.600 moles
Next, let's find the moles of solvent (water). Since water is the only other component of the solution, the total number of moles will be equal to the total volume (in liters) of the solution.
Mole of water = Total volume of solution (in liters) = 1 L (given)
Now, we can calculate the mole fraction of hydrogen peroxide (H2O2) using the formula:
Mole fraction (X) = Moles of solute / Total moles
Mole fraction (H2O2) = 0.600 moles / (0.600 moles + 1 mole)
Mole fraction (H2O2) = 0.600 / 1.600
Mole fraction (H2O2) = 0.375
Therefore, the mole fraction of hydrogen peroxide (H2O2) in the solution is 0.375.