Final answer:
To calculate the molar mass of the solute, divide the mass of the solute by the moles of the solute. In this case, the molar mass of the solute is 45.0 g/mol.
Step-by-step explanation:
To calculate the molar mass of the solute, we first need to find the moles of the solute and the moles of the solvent. We can use the formula:
moles of solute = mass of solute / molar mass of solute
moles of solvent = mass of solvent / molar mass of water
Once we have the moles of solute and solvent, we can use the formula:
molar mass of solute = mass of solute / moles of solute
In this case, we have a 5.78 g sample of an alkaline earth metal nitrate (M(NO3)2) dissolved in 20.62 g of water. The boiling point of the solution is 102.03 °C. The molar mass of water is 18.02 g/mol.
Let's calculate the moles of solute and moles of solvent:
moles of solute = 5.78 g / molar mass of solute
moles of solvent = 20.62 g / 18.02 g/mol
Now, let's calculate the molar mass of the solute:
molar mass of solute = 5.78 g / moles of solute
Rounding to 3 significant digits, the molar mass of the solute is 45.0 g/mol.