If aqueous solution contains (9 % ) and (1 % ) ((w / w) ) of two non-volatile non-electrolytes (X ) (molecular weight 180) and (Y ) (molecular weight 50) respectively, the boiling point of solution in ( ^ C ) approximately is ( (K_b=0.52 ~K ~kg ~mol ⁻¹ ) )

Step-by-step solution

Given, Mass of non-volatile solute (X=9 ~g ) Mass of non-volatile solute (Y= l g ) Molar mass of (X=180 ~g ~mol ⁻¹ ) Molar mass of (Y=50 ~g ~mol ⁻¹ ) Mass of solvent (approx.) (=100 ) ( aligned K_b & =0.52 ~K ~kg ~mol ⁻¹ T_b & =K_b M=K_b [M_ (X) +M_ (Y) ] & =K_b [ w_ (X) M_ (X) + w_ (Y) M_ (Y) ] 1000 100 & =0.52 [ 9 180 + 1 50 ] 10 & =0.52[0.05+0.02] 10 & =0.52[0.07] 10=0.36 aligned ) Thus, boiling point (=100+0.36 ) (=100.36 or 100.4 ) Hence, option (b) is the correct answer.