How much heat energy is needed to change 0.25kg of water at 100°C to steam at 100°C? Show your work.
Please don't give me the answer, I just need help figuring out how to find the answer. Thanks!
.25 * heat of vaporization of water
To find the amount of heat energy needed to change a substance from one state to another at the same temperature, you can use the formula for latent heat.
The first step is to determine the heat required to raise the temperature of the water from 100°C to its boiling point. This can be calculated using the specific heat capacity formula:
Q1 = m * c * ΔT
Where:
Q1 is the heat energy required
m is the mass of water (0.25 kg in this case)
c is the specific heat capacity of water (approximated as 4200 J/kg°C)
ΔT is the change in temperature (from 100°C to the boiling point, 100°C)
Once you have calculated the heat energy required to raise the temperature of the water, the next step is to determine the heat energy needed to convert the water at 100°C to steam at 100°C. This can be calculated using the formula for latent heat:
Q2 = m * L
Where:
Q2 is the heat energy required for phase change
m is the mass of water (0.25 kg in this case)
L is the latent heat of vaporization for water (approximately 2,260,000 J/kg)
Once you have calculated Q1 and Q2, you can find the total heat energy needed by adding them together:
Total heat energy = Q1 + Q2
I hope this helps you in finding the answer!