Ifwater cools to body temp.37 degrees C., how many kilocalories of heat could be transferred to sore muscles?
q = mass H2O x specific heat H2O x (Tfinal-Tintial)
You choose the mass H2O
specific heat = 1 Kcal/g
Tfinal = 37
Tinitial = you choose. Of course it can't be 100 C (or even 90C) without causing severe burns.
to calulate the calories(kcal) in 1/2 cup of soft ice cream that contains 16g carbs, 17g fat, 5g protein.
do I multiply
16g x 4 for carbs
17g x 9 for fat
5g x 4 for proteins?
then do I do conversion factors for
grams to 1/2cup? am I on the right road?
Yes, on the right track.
The 16 x 4 will give kcal for carbs.
The 17 x 9 will give kcal for fat.
The 5 x 4 will give kcal for proteins.
Then add all of them together for total kcal.
You don't need to factor in the 1/2 cup because the problem tells you the grams of protein, fat, carbs in the 1/2 cup.
To determine the number of kilocalories of heat that could be transferred to sore muscles, we need to consider the specific heat capacity of water and the mass of water being used.
Here's how you can calculate it:
1. Determine the mass of water being used. Let's say you have a certain volume of water, V (in milliliters or liters). Since the density of water is 1 gram per milliliter, the mass of water, m, can be calculated using the equation:
m = V * 1 gram/mL
If you have the volume in liters, you can convert it to milliliters by multiplying by 1000.
2. Use the specific heat capacity of water. The specific heat capacity of water is approximately 1 calorie per gram per degree Celsius (cal/g°C), or 4.18 joules per gram per degree Celsius (J/g°C).
3. Calculate the change in temperature. Since the water is initially at room temperature (let's assume 25°C) and needs to cool down to body temperature (37°C), the change in temperature, ΔT, is:
ΔT = 37°C - 25°C = 12°C
4. Calculate the heat transfer using the formula:
Heat transfer = mass * specific heat capacity * change in temperature
If you want the heat transfer in kilocalories, divide the result by 1000:
Heat transfer (in kilocalories) = (mass * specific heat capacity * change in temperature) / 1000
This will give you the amount of heat transfer that could be transferred to sore muscles in kilocalories.