Please help me solve this priblem
2 answers:
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The value of constant c for which the function k(x) is continuous is zero.
<h3>What is the limit of a function?</h3>The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.
To determine the value of constant c for which the function of k(x) is continuous, we take the limit of the parameter as follows:
Provided that:
Using l'Hospital's rule:
Therefore:
Hence; c = 0
Learn more about the limit of a function x here:
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Answer:
The morality of the solution is calculated as 0.859 m. We are required to determine the freezing point depression constant of pure water. The freezing point depression of the solution is given as
* (morality of solution)
and
are the freezing points of the pure solvent (water, 0°C) and
= freezing point depression constant of water. Therefore,
*(0.859 m)
=====> (0°C) – (3.00°C) =
=====> -3.00°C =
Ignore the negative sign (since is positive) and get
= (3.00°C) / (0.859 m) = 3.492°C/m
The freezing point depression constant of the solvent is 3.5°C kg/mole
3.5 K.kg/mole (temperature differences are the same in Celsius and Kelvin scales).