In the winter of \(1994,\) record low temperatures were registered throughout the United States. For example, in Champaign, Illinois, a record low of \(-29^{\circ} \mathrm{F}\) was registered. At this temperature can salting icy roads with \(\mathrm{CaCl}_{2}\) be effective in melting the ice? a. Assume \(i=3.00\) for \(\mathrm{CaCl}_{2}\) b. Assume the average value of \(i\) from Exercise 87 (The solubility of \(\mathrm{CaCl}_{2}\) in cold water is \(74.5 \mathrm{g}\) per \(100.0 \mathrm{g}\) water.

In this exercise, we were asked to determine if salting icy roads with CaCl2 can be effective in melting the ice at a record low temperature of -29°C. We calculated the molality of the solution and the freezing point depression for both cases: assuming i=3.00 and assuming the average value of i from Exercise 87. For Case a, the freezing point depression is 37.5 °C, meaning that melting of the ice is effective at temperatures as low as -37.5 °C. Since the record low temperature is -29 °C, salting the icy roads with CaCl2 will be effective in melting the ice at this temperature. For Case b, without knowing the average value of i, we cannot draw a conclusion. However, the method would be the same - calculate the freezing point depression and compare it with the record low temperature.