If 0.98 g of an unknown was dissolved in 10.30 g of solvent and the resulting solution has a molality of 0.45 m, what is the molar mass of the unknown?

General
1

if 0.98 g of an unknown was dissolved in 10.30 g of solvent and the resulting solution has a molality of 0.45 m, what is the molar mass of the unknown?

2

What is the molar mass of the unknown compound?

Answer:
To find the molar mass of the unknown compound, we need to use the given information. The mass of the solute (unknown compound) is 0.98 g and the molality of the solution is 0.45 m.

First, we need to calculate the number of moles of the solute. We can use the formula: moles of solute = molality * mass of solvent.
Given that the mass of the solvent is 10.30 g and the molality is 0.45 m, the moles of the solute can be calculated as follows:

moles of solute = 0.45 mol/kg * 10.30 g = 4.635 mol

Now, we can calculate the molar mass of the unknown compound using the formula: molar mass = mass of solute / moles of solute.
Given that the mass of the solute is 0.98 g and the moles of the solute is 4.635 mol, the molar mass can be calculated as follows:

molar mass = 0.98 g / 4.635 mol = 0.211 g/mol

Therefore, the molar mass of the unknown compound is approximately 0.211 g/mol.