Explain why the molar mass of benzoic acid as observed by using colligative property measurements is double of the calculated value
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Explanation:
The molar mass of benzoic acid we determined from the freezing point depression is twice its theoretical value because of the Van't Hoff factor typically used in freezing point depression calculations. The Van't Hoff factor is calculated as the actual amount of particles dissolved divided by the number of formula units initially dissolved in the solution. In this case since the freezing point depression is twice the expected amount, we recall that:
{eq}\displaystyle \rm T_f = iK_f m {/eq}
This thus means that our Van't Hoff factor is equal to 2.
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