Final answer:
To find the final temperature of ethanol after cooling it with -15.3 kJ of energy, we calculate the temperature change using the specific heat capacity. After calculation, the final temperature is determined to be -2.0 ºC.
Step-by-step explanation:
The student has asked what the final temperature of ethanol will be after cooling it with -15.3 kJ of energy, given that its initial temperature is 23.0 ºC and its specific heat capacity is 2.46 J/gºC. To find the final temperature, we use the formula q = mcΔT, where q is the heat energy transferred, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature. We rearrange the formula to solve for ΔT: ΔT = q / (mc).
Plugging in the values gives us ΔT = (-15,300 J) / (250 g × 2.46 J/gºC) = -25 ºC. Therefore, the final temperature of the ethanol after it is cooled is 23.0 ºC - 25 ºC = -2.0 ºC.