A certain mass of a substance when dissolved in 100 g lowers the freezing point by

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Problem

A certain mass of a substance when dissolved in 100 g

\text{C}_6\text{H}_6

lowers the freezing point by

1.28^{\circ}\text{C}

. The same mass of solute dissolved in 100 g of water lowers the freezing point by

1.40^{\circ}\text{C}

. If the substance has normal molar mass in benzene and is completely dissociated in water, into how many ions does it dissociate in water?

K_f

for

\text{H}_2\text{O}

and

\text{C}_6\text{H}_6

are 1.86 and

5.12\,\text{K mol}^{-1}\text{ kg}

respectively.