Answer: The molal concentration of sucrose solution is 1.07 m
Explanation:
Depression in freezing point is given by:
[tex]\Delta T_f=i\times K_f\times m[/tex]
[tex]\Delta T_f=T_f^0-T_f=0.00-(-2.00)^0C=2.00^0C[/tex] = Depression in freezing point
i= vant hoff factor = 1 (for non electrolyte such as sucrose)
[tex]K_f[/tex] = freezing point constant = [tex]1.86^0C/m[/tex]
m= molality
Putting in the values:
[tex]2.00^0C=1\times 1.86^0C/m\times m[/tex]
[tex]m=1.07[/tex]
Thus molal concentration of sucrose solution is 1.07 m