if 8100 calories are released from 200g of steam at 100C, how much of the steam condenses?
To determine how much of the steam condenses, we need to find the amount of energy released when 200g of steam at 100°C condenses.
First, let's calculate the heat energy released by the steam using the specific heat capacity and the temperature change.
The specific heat capacity of steam is approximately 2.0 J/g°C, which means that it takes 2.0 Joules of heat energy to raise the temperature of 1 gram of steam by 1 degree Celsius.
Given:
Mass of steam (m) = 200g
Temperature change (∆T) = 100°C (steam at 100°C condenses to water at 100°C)
The amount of heat energy released (Q) can be calculated using the formula:
Q = m * ∆T * specific heat capacity
Q = 200g * 100°C * 2.0 J/g°C
Now, let's substitute the values and calculate the heat energy released by the steam:
Q = 200g * 100°C * 2.0 J/g°C
Q = 40,000 J
Therefore, 40,000 Joules of heat energy are released when 200g of steam at 100°C condenses.
To convert this heat energy to calories, we need to divide the value by 4.18 (since 1 calorie is approximately equal to 4.18 Joules).
Number of calories released = 40,000 J / 4.18
Number of calories released ≈ 9,569 calories
So, approximately 9,569 calories are released when 200g of steam at 100°C condenses.