Answer :
Final answer:
To prepare a 250 ml (0.250 L) solution of 1.55 M urea, 23.27335 grams or 23273.35 milligrams of urea, which has a molar mass of 60.06 g/mol, is needed.
Explanation:
To calculate the amount of urea (CO(NH2)2) required to prepare 250 ml of a 1.55 m solution, we first need to find the number of moles of urea required using the formula:
Molarity (M) = moles of solute / liters of solution
Since we have the molarity (1.55 m) and the volume of the solution (0.250 L), we can rearrange this formula to solve for moles of urea:
moles of urea = Molarity \\( ext{M}\\) \u00d7 Volume of solution \\( ext{L}\\)
moles of urea = 1.55 moles/L \u00d7 0.250 L = 0.3875 moles
To find the mass of urea required, we then use the mw of urea = 60.06 g/mol. The mass can be calculated by multiplying the number of moles by the molar mass:
mass of urea = moles \u00d7 molar mass
mass of urea = 0.3875 moles \u00d7 60.06 g/mol = 23.27335 g
To convert to milligrams (mg), we know that 1 g = 1000 mg, so it follows that:
23.27335 g \u00d7 1000 mg/g = 23273.35 mg
We can now conclude that the amount of urea required is 23.27335 g or 23273.35 mg.