A 0.0020 ~m aqueous solution of an ionic compound Co ( NH ₃ )₅ ( NO ₂ ) Cl freezes at -0.00732^ C . Number of moles of ions which 1 ~mol of ionic compound produces on being dissolved in water will be ( k _ f =-1.86^ C / m )

Step-by-step solution

Given, aligned molality, m & =0.0020 ~m T _ f & =0^ C -0.00732^ C =0.00732^ C k _ f & =1.86^ C / m T _ f & = i k _ f m i & = T _ f k _ f m & = 0.00732 1.86 0.0020 & =1.96 2 aligned Since, the compound is ionic, so number of moles produced is equal to vant' Hoff factor, i . Hence, 2 moles of ions are produced.