In lab, Will burns a 0.6- peanut beneath 48 of water, which increases in temperature from 22 to 46. The amount of heat absorbed by the water can be found with the equation , where is the amount of heat, the specific heat of water, the mass of water, and the change in the water's temperature.
1.Assuming that 50 of the heat released makes its way to the water, find the food value of the peanut.
2.What is the food value in calories per gram?
3.What is the food value in Calories per gram?
To find the food value of the peanut, we can use the formula given:
Heat Absorbed by Water = (specific heat of water) x (mass of water) x (change in water's temperature)
Before we can use this formula, let's calculate the values needed for it:
1. We are given that the specific heat of water is 48. This information is already provided.
2. The mass of water, which we can denote as m, is also given as 48 grams.
3. The change in water's temperature, which we can denote as ΔT, is the difference between the initial and final temperatures, i.e., 46 - 22 = 24 degrees Celsius.
Now let's plug these values into the given formula:
Heat Absorbed by Water = (48) x (48) x (24)
1. Assuming that 50% of the heat released makes its way to the water, we need to find the total heat released by the peanut. Since 50% makes it to the water, the other 50% is lost elsewhere. So the total heat released can be calculated as:
Total Heat Released = (Heat Absorbed by Water) / (50%)
2. To find the food value in calories per gram, we need to divide the total heat released by the mass of the peanut. Let's assume the mass of the peanut is given as m grams:
Food Value in calories per gram = Total Heat Released / m
3. To convert the food value from calories to Calories (capital C), we need to divide the result from step 2 by 1000. Since 1 calorie is equal to 0.001 Calories:
Food Value in Calories per gram = Food Value in calories per gram / 1000
Now you can substitute the appropriate values in these formulas to find the answers.