calculate the heat energy needed to convert 2kg of ice at -12 degree celcius to steam at 100 degree celcius.
specific heat capacity for ice=2100j/kg K
specific latent heat of ice=340000 J/kg
specific latent heat for steam =2260000J/kg
im having issue in solving this question . if anyone knows please do comment
yes
Am finding it difficult to calculate the amount of heat required to melt ice to steam. Please help me
To calculate the heat energy needed to convert the ice to steam, we need to consider three main steps:
1. Heating the ice from -12 degrees Celsius to its melting point at 0 degrees Celsius.
2. Melting the ice at 0 degrees Celsius to water at 0 degrees Celsius.
3. Heating the water from 0 degrees Celsius to its boiling point at 100 degrees Celsius.
4. Converting the water (at 100 degrees Celsius) to steam at 100 degrees Celsius.
Let's calculate the heat energy required for each step:
Step 1: Heating the ice from -12 degrees Celsius to 0 degrees Celsius.
The formula to calculate the heat energy Q is Q = m * c * ΔT, where m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.
Q1 = 2 kg * 2100 J/kg°C * (0°C - (-12°C))
Q1 = 2 kg * 2100 J/kg°C * 12°C
Q1 = 50400 J
Step 2: Melting the ice at 0 degrees Celsius to water at 0 degrees Celsius.
The formula to calculate the heat energy Q is Q = m * L, where m is the mass and L is the specific latent heat.
Q2 = 2 kg * 340000 J/kg
Q2 = 680000 J
Step 3: Heating the water from 0 degrees Celsius to 100 degrees Celsius.
Q3 = 2 kg * 2100 J/kg°C * (100°C - 0°C)
Q3 = 420000 J
Step 4: Converting the water (at 100 degrees Celsius) to steam at 100 degrees Celsius.
Q4 = 2 kg * 2260000 J/kg
Q4 = 4520000 J
Now, we need to add the heat energy required for all the steps:
Total heat energy = Q1 + Q2 + Q3 + Q4
Total heat energy = 50400 J + 680000 J + 420000 J + 4520000 J
Total heat energy = 5732400 J
Therefore, the heat energy needed to convert 2 kg of ice at -12 degrees Celsius to steam at 100 degrees Celsius is 5732400 J.
heat the ice to 0 ºC
melt the ice
heat the water to 100 ºC
boil the water
add the energy from all the steps