Water with a mass of 1000kg leaves a hose at 20oC and is converted by the heat from the fire into steam at 300oC. List the steps needed in order to determine the amount of heat that is added to the water. For each step show the formula that must be used and replace the variables with the appropriate numbers. Also, state whether the heat for each step will be positive or negative. You do not need to complete the calculations. Specific heat of water = 4.2 kJ/kgoC, Latent heat of vaporization of water = 2260 kJ/kg, Specific heat of steam = 2.0 kJ/kgoC
electoric
To determine the amount of heat that is added to the water, we can break down the process into several steps. Let's go through each step and the formulas required:
Step 1: Calculate the heat required to raise the temperature of the water from 20°C to its boiling point.
Formula: Q = m * c * ΔT
Q is the heat energy
m is the mass of water
c is the specific heat capacity of water
ΔT is the change in temperature
In this case, the mass of water (m) is given as 1000 kg, the specific heat capacity of water (c) is given as 4.2 kJ/kg°C, and the change in temperature (ΔT) is the boiling point of water (100°C) minus the initial temperature (20°C).
The heat in this step will be positive since we are adding heat to the water.
Step 2: Calculate the heat required to convert the water at its boiling point to steam.
Formula: Q = m * L
Q is the heat energy
m is the mass of water
L is the latent heat of vaporization of water
In this case, the mass of water (m) is still 1000 kg and the latent heat of vaporization of water (L) is given as 2260 kJ/kg.
The heat in this step will be positive since we are adding heat to the water to convert it into steam.
Step 3: Calculate the heat required to raise the temperature of the steam from its boiling point to 300°C.
Formula: Q = m * c * ΔT
Q is the heat energy
m is the mass of steam
c is the specific heat capacity of steam
ΔT is the change in temperature
In this case, the mass of steam (m) would be the same as the mass of water since they have the same mass initially. The specific heat capacity of steam (c) is given as 2.0 kJ/kg°C, and the change in temperature (ΔT) is 300°C minus the boiling point of water (100°C).
The heat in this step will be positive since we are adding heat to the steam.
To determine the total amount of heat added to the water, you would need to sum up the heat values for each step.
Keep in mind that these calculations assume no heat losses from the system.