Final answer:
To determine the final temperature of ethanol after adding heat, we use the specific heat capacity formula, which in this case allows us to calculate the temperature change resulting from adding 80,000 J of heat to 3.5 kg of ethanol with a specific heat of 2440 J/kg°C.
Step-by-step explanation:
The problem at hand involves understanding how the addition of thermal energy affects the temperature of a substance, which is a question in Physics. More specifically, it's a problem related to thermodynamics and heat transfer. By applying the specific heat capacity formula, one can determine the change in the temperature of a given amount of substance (ethanol in this case) upon the addition of a certain amount of energy.
To find the final temperature of the ethanol after adding 80,000 J of energy to 3.5 kg of it, we apply the formula:
Q = mcΔT
where Q is the heat energy transferred (80,000 J), m is the mass of the ethanol (3.5 kg), c is the specific heat capacity of ethanol (2440 J/kg°C), and ΔT represents the temperature change. Rearranging the formula to solve for ΔT gives:
ΔT = Q / (mc)
By plugging in our values:
ΔT = 80,000 J / (3.5 kg * 2440 J/kg°C)
After doing the calculations, we can then add ΔT to the initial temperature of 42°C to determine the final temperature of the ethanol.