Final answer:
The amount of energy in the peanut is 3 large calories.
Step-by-step explanation:
To determine the energy content of the peanut, we need to calculate the amount of heat transferred to the water in the calorimeter. The formula to calculate heat is Q = mcΔT, where Q is the heat energy, m is the mass, c is the specific heat, and ΔT is the change in temperature.
First, calculate the heat transfer to the water:
Q = (0.200 kg) ↓c ↓ΔT
= (0.200 kg)(4.18 Bg.°C)(14.5°C)
= 12.09 Bg.
Next, calculate the amount of energy in the nut: Energy = Q = 3 large calories.