Calculate the heat released when 454 g of steam at 100.0C condenses and then cools to 30.0C. State your answer in calories.
q1 = heat released on condensation at 100 C.
q1 = mass steam x heat vaporization/condensation.
q2 = heat released in cooling from 100 C to 30 C.
q2 = mass H2O x specific heat H2O x (Tfinal-Tinitial)
Total = q1 + q2.
How much energy is given to your body when 500g of steam condenses on your skin
To calculate the heat released during the process, we need to consider two steps: (1) The heat released when steam condenses into water, and (2) The heat released when the water cools down from 100.0°C to 30.0°C.
Step 1: Determining the heat released during condensation.
The heat released during condensation can be calculated using the formula:
Q = m * ΔHvap
Where:
Q is the heat released
m is the mass of steam
ΔHvap is the heat of vaporization
First, we need to determine the mass of steam. The question tells us it is 454 g.
Next, we need to find the heat of vaporization, which is the amount of heat required to convert 1 gram of steam to water at the same temperature. For water, the heat of vaporization is approximately 540 calories.
Using the formula, we can calculate the heat released during condensation:
Q1 = (454 g) * (540 cal/g)
Q1 = 245,160 calories
Step 2: Determining the heat released during cooling.
The heat released during cooling can be calculated using the formula:
Q = m * C * ΔT
Where:
Q is the heat released
m is the mass of water
C is the specific heat capacity of water
ΔT is the change in temperature
In this case, the water cools down from 100.0°C to 30.0°C, so:
ΔT = (100.0°C - 30.0°C) = 70.0°C
The specific heat capacity of water is approximately 1 calorie/gram°C.
Now, we can calculate the heat released during cooling:
Q2 = (454 g) * (1 cal/g°C) * (70.0°C)
Q2 = 31,780 calories
Finally, to calculate the total heat released, we can add the heat released during condensation (Q1) and the heat released during cooling (Q2):
Total Q = Q1 + Q2
Total Q = 245,160 calories + 31,780 calories
Total Q = 276,940 calories
Therefore, the heat released when 454 g of steam at 100.0°C condenses and then cools to 30.0°C is 276,940 calories.