In a household radiator, 1000 g of steam at 100 C condenses. How much heat is released?
Well, let me take a crack at it! If 1000 g of steam at 100°C condenses, it must be steaming mad! But fear not, my friend, the heat released can be calculated using the latent heat of vaporization for steam, which is approximately 2260 J/g. So multiply that by the mass of the steam (1000 g), and you'll find that approximately 2,260,000 J (or 2.26 MJ) of heat are released. That's hot stuff!
To calculate the amount of heat released when 1000 g of steam at 100 °C condenses, we need to use the specific heat capacity and the latent heat of vaporization for water.
1. First, we need to calculate the heat required to raise the temperature of the steam from 100 °C to its boiling point (100 °C). We will use the specific heat capacity of water, which is approximately 4.18 J/g·°C.
Heat = mass × specific heat capacity × change in temperature
Heat = 1000 g × 4.18 J/g·°C × (100 °C - 100 °C)
Heat = 0 J (no change in temperature)
2. Once the steam reaches its boiling point, it starts to condense into water. To calculate the amount of heat released during condensation, we will use the latent heat of vaporization for water, which is approximately 2260 J/g.
Heat = mass × latent heat of vaporization
Heat = 1000 g × 2260 J/g
Heat = 2,260,000 J
Therefore, 1000 g of steam at 100 °C releases 2,260,000 J of heat when it condenses.
To calculate the amount of heat released when 1000 g of steam condenses, we need to use the heat of vaporization for water. The heat of vaporization is the amount of energy required to convert one gram of a substance from a liquid to a vapor at its boiling point.
For water, the heat of vaporization is approximately 2260 J/g. This means that to convert one gram of water at its boiling point (100°C) into steam, 2260 joules of heat energy are required.
Since you have 1000 g of steam condensing, you can multiply the mass by the heat of vaporization to find the total amount of heat released.
Heat released = Mass of steam * Heat of vaporization
Heat released = 1000 g * 2260 J/g
Now, let's calculate the answer:
Heat released = 1000 g * 2260 J/g
Heat released = 2,260,000 J
Therefore, when 1000 g of steam at 100°C condenses, approximately 2,260,000 joules of heat are released.