Understanding the Concepts
* Boiling Point Elevation: Adding a solute (like ammonium nitrate) to a solvent (like water) raises the boiling point of the solution. This is called boiling point elevation.
* Molality (m): Molality is a measure of concentration expressed as moles of solute per kilogram of solvent.
* Boiling Point Elevation Constant (Kb): This is a property of the solvent that indicates how much the boiling point will increase for a 1 molal solution.
Calculations
1. Determine the change in boiling point (ΔTb):
* ΔTb = Kb * molality
* ΔTb = 0.51 °C/m * 2.86 m
* ΔTb = 1.46 °C
2. Calculate the new boiling point:
* New Boiling Point = Normal Boiling Point of Water + ΔTb
* New Boiling Point = 100.0 °C + 1.46 °C
* New Boiling Point = 101.46 °C
Therefore, the boiling point of a 2.86 m solution of ammonium nitrate in water is 101.46 °C.
