When a cubic meter of steam at 100°C condenses, how much energy is released?
the steam density is ... 590 g/m^3
multiply the mass by the heat of vaporization
sorry, what do you mean by the heat of vaporization? Cheers
To calculate the amount of energy released when a cubic meter of steam at 100°C condenses, we need to consider the specific heat capacity of water and the latent heat of vaporization.
The specific heat capacity of water is the amount of energy required to raise the temperature of water by one degree Celsius. For water, this value is approximately 4,186 Joules per kilogram per degree Celsius (J/kg°C).
The latent heat of vaporization of water is the amount of energy required to change water from a liquid to a gas (or vice versa) at a constant temperature. For water, this value is approximately 2,257,000 Joules per kilogram (J/kg).
To solve the problem, we first need to convert the given information of "one cubic meter" into mass, since the specific heat capacity and latent heat of vaporization are given per unit mass.
The density of water is approximately 1,000 kilograms per cubic meter (kg/m³). Therefore, one cubic meter of water is equivalent to 1,000 kilograms (1,000 kg).
Assuming that the steam at 100°C is fully condensed, we can use the latent heat of vaporization to calculate the energy released.
Energy released = Mass of water × Latent heat of vaporization
Energy released = 1,000 kg × 2,257,000 J/kg
Energy released = 2,257,000,000 Joules
Therefore, when a cubic meter of steam at 100°C condenses, approximately 2,257,000,000 Joules (or 2.257 GJ) of energy is released.