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  • Heat Absorption Calculation for Ammonium Nitrate Solution: A Step-by-Step Guide
    Here's how to calculate the heat absorbed by the ammonium nitrate solution:

    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.

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