A 1.0 g sample of food reacts with oxygen in a calorimeter containing 500 g of water. The temperature rises 10°C. What is the energy content of the food?
q = mass H2O x specific heat H2O x delta T.
To determine the energy content of the food, we can use the concept of calorimetry. Calorimetry is the measurement of heat transfer during a chemical or physical process, typically by using a calorimeter.
In this case, we have a calorimeter containing water and a sample of food. The increase in temperature of the water after the reaction provides us with information about the energy released by the food.
The energy released by the food can be calculated using the formula:
Q = m * c * ΔT
Where:
Q is the heat energy transferred
m is the mass of the substance (in this case, water)
c is the specific heat capacity of the substance (in this case, water)
ΔT is the change in temperature
Given:
Mass of water (m) = 500 g
Change in temperature (ΔT) = 10°C
The specific heat capacity of water (c) is approximately 4.184 J/g°C.
Using the formula, we can calculate the energy content (Q) of the food:
Q = 500 g * 4.184 J/g°C * 10°C
Q = 20,920 J
Therefore, the energy content of the food is approximately 20,920 Joules.