Answer : The molality of NaCl is, 1.95 mol/kg
Explanation :
Formula used for Elevation in boiling point :
![\Delta T_b=i\times k_b\times m](https://tex.z-dn.net/?f=%5CDelta%20T_b%3Di%5Ctimes%20k_b%5Ctimes%20m)
where,
= change in boiling point = ![2^oC](https://tex.z-dn.net/?f=2%5EoC)
= boiling point constant for water = ![0.512^oC/m](https://tex.z-dn.net/?f=0.512%5EoC%2Fm)
m = molality
i = Van't Hoff factor = 2 (for electrolyte)
The dissociation
will be,
![NaCl\rightarrow Na^++Cl^{-}](https://tex.z-dn.net/?f=NaCl%5Crightarrow%20Na%5E%2B%2BCl%5E%7B-%7D)
So, Van't Hoff factor = Number of solute particles =
= 1 + 1 = 2
Now put all the given values in the above formula, we get:
![2^oC=2\times (0.512^oC/m)\times m](https://tex.z-dn.net/?f=2%5EoC%3D2%5Ctimes%20%280.512%5EoC%2Fm%29%5Ctimes%20m)
![m=1.95mol/kg](https://tex.z-dn.net/?f=m%3D1.95mol%2Fkg)
Therefore, the molality of NaCl is, 1.95 mol/kg