Question

If 40.5 g of KCl are dissolved 250.0 g of water at 25.0 °C in an

insulated container, a temperature change is observed. The AH of
solution of KCI is 17.2 kJ/mol. Assuming that the specific heat of the
solution is 4.184 J/(g °C), and that no heat is gained or lost by the
container, what will be the final temperature of the solution?

Answer 1

To calculate the final temperature of the solution, use the equation q = mCΔT, where q is heat energy, m is mass, C is specific heat capacity, and ΔT is change in temperature. Then, use the equation ΔT = q / (mC) to solve for change in temperature and add it to the initial temperature to get the final temperature.

Step-by-step explanation:

In order to calculate the final temperature of the solution, we can use the equation q = mCΔT, where q represents heat energy, m is the mass of the solution, C is the specific heat capacity of the solution, and ΔT is the change in temperature.

First, we need to calculate the heat energy by multiplying the mass of the solution (250.0g) by the specific heat capacity (4.184 J/(g °C)) and the change in temperature (final temperature - initial temperature).

Next, we can use the equation ΔT = q / (mC) to solve for the change in temperature. Rearranging the equation, we get ΔT = 17.2 kJ/mol / (40.5 g / (1000 g/mol) * 4.184 J/(g °C)). Substituting the given values, we can calculate the change in temperature, which we can then add to the initial temperature (25.0 °C) to find the final temperature of the solution.