____?____g of glucose C6H12O6 must be dissolved in 400 g of water to give a solution that is 0.258 m(molality).

3 answers

You know molality = # mols/kg solvent. Rearrange that to # mols = molality x kg solvent. Call that equation 1.
You know # mols = grams/molar mass. Call that equation 2.
Now set # mols in equation 1 = # mols in equation 2 and substitute.
molality x kg solvent = g/molar mass OR
molality x kg solvent x molar mass = grams.
You have molality desired, kg solvent, and molar mass. Solve for grams.

Post your work if you get stuck.
kg solvent x molality x molar mass = grams.
Here is variation of the method offered by DrBob:
0.258m means 0.258 moles / kg of water. Based on that we can set up and solve for x:
**0.258 mol/1 kg = x / 0.400 kg
[Note: 400g = 0.400 kg]
**Solving for x gives us the moles of glucose to be used.
**Calculate the molar mass of C6H12O6 and multiply it by the value of "x" to get the grams of glucose to be added to the 400g of water.
thanks i got it