Answer:
K = 0.116 deg/mol
Step-by-step explanation:
The boiling point constant (K) for water can be calculated using the following formula:
K = (R × T^2) / ΔHvap
where R is the gas constant (1.987 cal/deg/mol), T is the boiling point temperature of water in Kelvin (373.15 K), and ΔHvap is the latent heat of vaporization of water (504 cal/g).
Plugging in the values, we get:
K = (1.987 cal/deg/mol × 373.15 K^2) / 504 cal/g
K = 0.116 deg/mol
The boiling point constant (K) is a proportionality constant that relates the elevation in boiling point of a solvent to the molal concentration of the solute. Specifically, K is defined as the change in boiling point per unit molality of solute. It is a measure of the colligative properties of a solution, which depend only on the number of solute particles present in the solution, not on their identity or chemical properties.