1. Determine the Temperature Change
* ΔT = Final Temperature - Initial Temperature
* ΔT = 22.4 °C - 25.3 °C = -2.9 °C
2. Determine the Mass of the Solution
* Assuming the density of the dilute solution is approximately 1 g/mL (close to the density of water), the mass of the solution is:
* Mass = Volume x Density = 100 mL x 1 g/mL = 100 g
3. Determine the Specific Heat Capacity of the Solution
* The specific heat capacity of a dilute ammonium nitrate solution is approximately the same as that of water, which is 4.184 J/(g·°C).
4. Calculate the Heat Absorbed
* The formula for calculating heat absorbed is:
* Q = m x c x ΔT
* Where:
* Q = heat absorbed (in Joules)
* m = mass of the solution (in grams)
* c = specific heat capacity (in J/(g·°C))
* ΔT = change in temperature (in °C)
* Plugging in the values:
* Q = 100 g x 4.184 J/(g·°C) x -2.9 °C
* Q = -1213.76 J
Important Note: The negative sign indicates that heat is *released* by the solution, not absorbed. This is because the temperature of the solution decreased.
Therefore, the solution released approximately 1213.76 Joules of heat.