A quantity of steam (200 g) at 126°C is condensed, and the resulting water is frozen into ice at 0°C. How much heat was removed?
200g of steam at 110°C is condensed, and the resulting water is frozen into ice at 0°C. How much heat was removed?
To find out how much heat was removed, we need to calculate the heat energy lost during the condensation of steam and the freezing of water into ice.
Let's break down the problem into two steps and calculate the heat energy for each step:
Step 1: Condensation of Steam
To calculate the heat energy lost during the condensation of steam, we can use the formula:
Q = m * L
Where:
Q = Heat energy (in Joules)
m = Mass of substance (in grams)
L = Latent heat of transformation (in Joules per gram)
For water, the latent heat of vaporization (L) is 2260 J/g (at atmospheric pressure).
Given:
Mass of steam (m) = 200 g
Temperature of steam = 126°C
First, we need to convert the steam's temperature from Celsius to Kelvin:
T(K) = T(°C) + 273.15
T(K) = 126 + 273.15 = 399.15 K
Now, we can calculate the heat energy lost during condensation:
Q1 = m * L
Q1 = 200 g * 2260 J/g
Q1 = 452,000 J
So, during the condensation process, 452,000 Joules of heat energy were removed.
Step 2: Freezing of Water into Ice
To calculate the heat energy lost during the freezing of water into ice, we again use the formula:
Q = m * L
For water, the latent heat of fusion (L) is 334 J/g (at atmospheric pressure).
Given:
Mass of water = 200 g
Temperature of water = 0°C
First, we need to convert the water's temperature from Celsius to Kelvin:
T(K) = T(°C) + 273.15
T(K) = 0 + 273.15 = 273.15 K
Now, we can calculate the heat energy lost during freezing:
Q2 = m * L
Q2 = 200 g * 334 J/g
Q2 = 66,800 J
So, during the freezing process, 66,800 Joules of heat energy were removed.
Total Heat Energy Removed:
To find the total heat energy removed, we simply add the heat energies from both steps:
Total Q = Q1 + Q2
Total Q = 452,000 J + 66,800 J
Total Q = 518,800 J
Therefore, a total of 518,800 Joules of heat energy were removed during the condensation of steam and the freezing of water into ice.