Answer :
Final answer:
The boiling point of the solution is approximately 213 degrees Fahrenheit.
Explanation:
The boiling point of a solution is influenced by the concentration of solutes in the solution. In this case, phosphoric acid is the solute. The boiling point elevation formula can be used to calculate the change in boiling point caused by the presence of the solute. The boiling point elevation constant for phosphoric acid is 0.512 °C/m.
By substituting the values into the formula:
ΔTB = KB × m × i
where ΔTB is the change in boiling point, KB is the boiling point elevation constant, m is the molality (moles of solute per kilogram of solvent), and i is the van't Hoff factor (number of particles into which the solute dissociates in solution).
Since we have the boiling point elevation constant and assuming a molality and van't Hoff factor of 1, the change in boiling point can be calculated by multiplying the values:
ΔTB = 0.512 °C/m × 1 × 1 = 0.512 °C
Therefore, the boiling point of the solution is the sum of the boiling point of the solvent (water) and the change in boiling point:
Boiling point of solution = Boiling point of solvent + ΔTB = 100 °C + 0.512 °C = 100.512 °C
Lastly, we can convert the boiling point from Celsius to Fahrenheit using the formula:
°F = (°C × 9/5) + 32
By substituting the value into the formula:
°F = (100.512 °C × 9/5) + 32 = 212.922 °F
Rounded to the nearest whole number, the boiling point of the solution is approximately 213 °F.
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