You're working on an experiment to determine the calorie content of peanuts. To do this, you burn a peanut beneath a container of water, and measure the water's temperature change. Suppose the peanut has a mass of 0.59 g, and the water has a mass of 63.5 g. The water's temperature rises from 21.2oC to 49.7oC.

water: Q=cmΔT=4180•0.063•(49.7-21.2)=7505.19 J=1792.6 cal

peanut: 0.59 g (or kg???)

calorie content = 7505.19/0.59•10⁻³ J/kg=1792.6 /0.59•10⁻³ cal/kg =

To determine the calorie content of peanuts, you can use the principle of calorimetry. Calorimetry is a method used to measure the heat transfer in a chemical or physical process. In this case, you are measuring the heat released by burning the peanut, and that heat causes a temperature change in the surrounding water. By measuring the temperature change and knowing the mass of the water and the peanut, you can calculate the calorie content of the peanut.

To calculate the calorie content, you will need to follow these steps:

1. Determine the heat absorbed by the water:
- The equation for calculating heat is Q = m * c * ΔT, where Q is the heat absorbed (in calories), m is the mass of the water (in grams), c is the specific heat capacity of water (1 calorie/gram°C), and ΔT is the change in temperature (in °C).
- Substituting the given values, we have:
Qwater = (63.5 g) * (1 cal/g°C) * [(49.7°C) - (21.2°C)]

2. Determine the heat released by the peanut:
- Since the heat released by the peanut is equal to the heat absorbed by the water (assuming no heat is lost to the surroundings), we can say Qpeanut = Qwater.
- This means the calorie content of the peanut is equal to the calculated value of Qwater.

3. Convert the calorie content to joules (optional):
- The standard unit for energy is joules, so if you want to express the calorie content in joules, you can convert it using the conversion factor: 1 calorie = 4.184 joules.

Performing the calculations:

Qwater = (63.5 g) * (1 cal/g°C) * [(49.7°C) - (21.2°C)]
= 44.7565 calories (rounded to four decimal places)

Therefore, the calorie content of the peanut is approximately 44.7565 calories.

If you want to convert this to joules, you can multiply the calorie value by the conversion factor:

44.7565 calories * 4.184 joules/calorie = 187.5162 joules (rounded to four decimal places)

So, the calorie content of the peanut is approximately 187.5162 joules.