Arrange the following aqueous solutions in order of increasing boiling points 0.050 m Mg(NO3): 0.100 m ethanol 0.090 m NaCl Ethanol

Respuesta :

Answer: The order of increasing boiling points follows:

[tex]\text{Ethanol }<Mg(NO_3)_2<\text{ NaCl}[/tex]

Explanation:

The expression of elevation in boiling point is given as:

[tex]\Delta T_b=i\times k_b\times m[/tex]

where,

[tex]\Delta T_b[/tex] = Elevation in boiling point

i = Van't Hoff factor  

[tex]T_b[/tex] = change in boiling point

[tex]k_b[/tex] = boiling point constant

m = molality

For the given options:

  • Option 1:  0.050 m [tex]Mg(NO_3)_2[/tex]

Value of i = 3

So, molal concentration will be = [tex](0.05)\times 3=0.15m[/tex]

  • Option 2:  0.100 m ethanol

Value of i = 1  (for non-electrolytes)

So, molal concentration will be = [tex](0.100)\times 1=0.100m[/tex]

  • Option 3:  0.090 m NaCl

Value of i = 2

So, molal concentration will be = [tex](0.09)\times 2=0.18m[/tex]

As, the molal concentration of NaCl is the highest, so its boiling point will be the highest.

Thus, the order of increasing boiling points follows:

[tex]\text{Ethanol }<Mg(NO_3)_2<\text{ NaCl}[/tex]