When 36 ~g of a non-volatile, non-electrolytic solute having the empirical formula CH ₂ O is dissolved in 1.2 ~kg of water, the solution freezes at -0.93^ C . The molecular formula of the solute is (K_f . of water .=1.86 ~K ~kg ~mol ⁻¹ )

Step-by-step solution

aligned t & =i K_f m t & = Depression in freezing point & = (t₁-t₂ )=(0-(-0.93)) t & =+0.93^ C aligned aligned & i= for non-electrolytic solute =1 & K_f= constant =1.86 ~K ~kg ~mol ⁻¹ & m= molarity = moles of solute kg of solvent & = weight in of solute molecular weight of solute kg of solvent & = 36 x 1.2 & aligned aligned 0.93 & =1 1.86 36 x 1.2 x & = 1.86 36 1.2 0.93 = 66.96 1.116 =60 C & =12, H =1, O =16 aligned For CH ₂ O =12+2+16=30 60 30 =2 Formula of solute = C ₂ H ₄ O ₂