An aqueous solution of H2SO4 is 60.0 % H2SO4 by mass. The density of the solution is 0.968 g/mL .
I need to find the Molality, mole fraction, and Molarity.
60.0g H2SO4/100 g solution
That is 60/98 = 0.612 moles H2SO4/100 g soln.
volume = mass/density = 100 g/0.968 = 103.3 mL and M H2SO4 = 0.612/0.1033 = 5.92M but you need to go through it more accurately. I estimated molar mass H2SO4 as 98.
To convert to molality, we want moles/kg soln. We have moles.
We have 60.0g H2SO4/100 g solution. That is 60.0g H2SO4/(60.0g H2SO4+ 40.0 g H2O). So molality =
0.612 moles H2SO4/0.040 kg H2O) = ??m
To convert to mole fraction, you want total moles in the solution. I would use the original 60.0% solution.
That is 0.612 moles H2SO4
You have 100 g soln of which 60.0 is H2SO4; therefore, 40.0 must be water.
moles H2O = 40.0/18.
Then add moles to find total moles and
XH2SO4 = moles H2SO4/total moles.
XH2O = mols H2O/total moles.
To find the molality, mole fraction, and molarity of the aqueous solution of H2SO4, we'll need some additional information. Specifically, we need to know the molar mass of H2SO4. The molar mass of H2SO4 is 98.09 g/mol.
Now we can calculate each value step-by-step:
1. Molality (m):
Molality is defined as the number of moles of solute per kilogram of solvent. To calculate the molality, we need to determine the number of moles of H2SO4 in the solution.
Step 1: Calculate the mass of H2SO4 in the solution.
Mass of H2SO4 = 60.0% × Total mass of the solution
= 60.0% × (mass of H2SO4 + mass of water)
Step 2: Calculate the mass of water in the solution.
Mass of water = Total mass of the solution - Mass of H2SO4
Step 3: Calculate the number of moles of H2SO4.
Moles of H2SO4 = Mass of H2SO4 / Molar mass of H2SO4
Step 4: Calculate the molality.
Molality (m) = Moles of H2SO4 / Mass of water (in kg)
2. Mole fraction (χ):
The mole fraction is the ratio of the number of moles of a component to the total number of moles in the solution.
Step 1: Calculate the number of moles of H2SO4.
Moles of H2SO4 = Mass of H2SO4 / Molar mass of H2SO4
Step 2: Calculate the number of moles of water.
Moles of water = Mass of water / Molar mass of water
Step 3: Calculate the mole fraction.
Mole fraction of H2SO4 (χ) = Moles of H2SO4 / (Moles of H2SO4 + Moles of water)
3. Molarity (M):
Molarity is defined as the number of moles of solute per liter of solution. We can calculate the molarity using the number of moles of H2SO4 and the volume of the solution.
Step 1: Calculate the number of moles of H2SO4.
Moles of H2SO4 = Mass of H2SO4 / Molar mass of H2SO4
Step 2: Calculate the volume of the solution.
Volume of the solution = Mass of the solution / Density of the solution
Step 3: Convert the volume of the solution to liters.
Volume of the solution (in L) = Volume of the solution (in mL) / 1000
Step 4: Calculate the molarity.
Molarity (M) = Moles of H2SO4 / Volume of the solution (in L)
Now you can use these step-by-step instructions to calculate the molality, mole fraction, and molarity of the aqueous solution of H2SO4.
To find the molality, mole fraction, and molarity of the aqueous solution of H2SO4, we can use the following formulas:
1. Molality (m):
Molality is defined as the number of moles of solute per kilogram of solvent. To calculate the molality, we need to know the mass of solute (H2SO4) and the mass of the solvent (water).
The mass of the solute H2SO4 in the solution can be calculated by multiplying the mass of the solution by the percentage of the solute:
Mass of H2SO4 = mass of solution x percentage of H2SO4
The mass of the solvent (water) can be found by subtracting the mass of the solute from the mass of the solution:
Mass of solvent = mass of solution - mass of H2SO4
Once we have both values, we can calculate the molality using the following formula:
Molality = (moles of H2SO4) / (mass of solvent in kg)
2. Mole fraction (X):
Mole fraction is the ratio of the moles of a component to the total moles of all components in the solution. In this case, the mole fraction of H2SO4 is the moles of H2SO4 divided by the total moles of H2SO4 and water.
The moles of H2SO4 can be calculated using the equation:
Moles of H2SO4 = (mass of H2SO4) / (molar mass of H2SO4)
The moles of water can be determined by dividing the mass of the solvent (water) by the molar mass of water.
Once we have both values, we can calculate the mole fraction of H2SO4 using the formula:
Mole fraction of H2SO4 = (moles of H2SO4) / (moles of H2SO4 + moles of water)
3. Molarity (M):
Molarity is the number of moles of solute per liter of solution. To calculate the molarity, we need to know the moles of solute (H2SO4) and the volume of the solution in liters.
The moles of H2SO4 can be calculated using the same formula as for the mole fraction:
Moles of H2SO4 = (mass of H2SO4) / (molar mass of H2SO4)
The volume of the solution in liters can be determined by dividing the mass of the solution by the density of the solution:
Volume of solution = (mass of solution) / (density of solution)
Once we have both values, we can calculate the molarity using the following formula:
Molarity = (moles of H2SO4) / (volume of solution in liters)
Using these formulas, you can find the molality, mole fraction, and molarity of the aqueous solution of H2SO4.