One tablespoon of peanut butter has a mass of 16 g. It is combusted in a calorimeter whose heat capacity is 120.0 kJ/°C. The temperature of the calorimeter rises from 22.2 °C to 25.4 °C. Find the food caloric content of peanut butter.

Verified step by step guidance

1. Identify the temperature change (\( \Delta T \)) of the calorimeter by subtracting the initial temperature from the final temperature: \( \Delta T = T_{\text{final}} - T_{\text{initial}} \).
2. Use the formula for heat absorbed or released: \( q = C \times \Delta T \), where \( q \) is the heat absorbed or released, \( C \) is the heat capacity of the calorimeter, and \( \Delta T \) is the temperature change.
3. Calculate the total heat absorbed by the calorimeter using the heat capacity and the temperature change.
4. Convert the heat absorbed (in kJ) to food calories (Cal), knowing that 1 Cal = 1 kcal = 4.184 kJ.
5. Determine the caloric content per gram of peanut butter by dividing the total caloric content by the mass of the peanut butter sample (16 g).