What is the molar mass of a solute if 62 g of the solute in 125 g of water produce a 5.3 molal solution?
given
m= 5.3, given mass= 62, molar mass= find?, weight= 125
m=given mass/molar mass ×
weight
when weight is in g then change it into kg.
then,
5.3= 62×1000/125×53
Now calculate,
m = moles/kg solvent
5.3 = moles/0.125
solve for moles.
Then moles = g/molar mass.
Solve for molar mass.
Well, let me do some clown math here. To find the molar mass of the solute, we need to figure out how many moles of the solute are in the solution.
So, we have 62 grams of solute and we know that the solution is 5.3 molal. This means that for every 1,000 grams of water, we have 5.3 moles of solute.
Given that we have 125 grams of water, we can set up a proportion to find out how many moles of solute we have.
(5.3 moles solute) / (1,000 grams water) = x moles solute / (125 grams water).
Cross-multiplying, we have:
5.3 * 125 = x moles solute.
So, x = 662.5 moles solute.
Now we can find the molar mass of the solute by dividing the mass of the solute by the number of moles.
Molar mass = 62 grams solute / 662.5 moles solute.
And the clown calculator is telling me that the molar mass of the solute is approximately 0.09 grams/mole.
So, there you have it - the molar mass of the solute is 0.09 grams/mole. Keep in mind, my friend, that my calculations may be a little clowny, so it's always good to double-check!
To find the molar mass of the solute, we need to use the formula:
Molality (m) = moles of solute / mass of solvent (in kg)
Given:
Mass of solute (m1) = 62 g
Mass of solvent (m2) = 125 g (convert to kg: 125 g / 1000 = 0.125 kg)
Molality (m) = 5.3 molal
Rearranging the formula, we get:
Molality (m) = moles of solute / mass of solvent (in kg)
moles of solute = Molality (m) x mass of solvent (in kg)
Let's calculate the moles of solute:
moles of solute = 5.3 molal x 0.125 kg
moles of solute = 0.6625 mol
Now, we can find the molar mass of the solute using the formula:
Molar mass = mass of solute / moles of solute
Substituting the values:
Molar mass = 62 g / 0.6625 mol
Molar mass = 93.533 g/mol (rounded to three decimal places)
Therefore, the molar mass of the solute is approximately 93.533 g/mol.
To find the molar mass of the solute, we need to first understand some of the given information.
A solution is considered molal when the amount of solute is expressed in moles per kilogram of solvent. In this case, the concentration of the solution is 5.3 molal.
To calculate the molar mass of the solute, we need to find the moles of the solute first.
1) Start by converting the mass of the solute to moles:
- The mass of the solute is given as 62 g.
- Use the molar mass formula: Moles = Mass / Molar mass.
- Therefore, Moles = 62 g / Molar mass.
2) Next, determine the mass of the water solvent:
- The mass of the water is given as 125 g.
3) Now, calculate the moles of water:
- Convert the mass of water to kilograms: 125 g ÷ 1000 = 0.125 kg.
- Use the formula: Moles = Mass / Molar mass.
- As water has a molar mass of approximately 18 g/mol, the moles of water is:
Moles = 0.125 kg / 18 g/mol = 0.00694 mol.
4) Finally, calculate the molality of the solution:
- The formula for molality is: Molality = Moles of solute / Mass of solvent (in kilograms).
- From the given information, the molality is 5.3 molal.
- Substitute the known values: 5.3 = Moles of solute / 0.125 kg.
- Solve for Moles of solute: Moles of solute = 5.3 × 0.125 kg = 0.6625 mol.
5) Now that we have the moles of the solute (0.6625 mol) and the mass of the solute (62 g), we can find the molar mass:
- Rearrange the equation: Molar mass = Mass / Moles.
- Plug in the values: Molar mass = 62 g / 0.6625 mol = 93.51 g/mol.
Therefore, the molar mass of the solute is approximately 93.51 g/mol.