Energy required to convert ice to steam ?

[Student-]

Homework Statement

Find the energy required to change ' X " mass of ice at -18 degrees celcius to steam at 100 degrees celcius.

Latent heat of fusion : 336 000
Lt heat of evaporaton : 2300000
SHC water : 4200
SHC ice : 2108

Homework Equations

Q=mcΔθ

Q=m x latent heat vaporisation/ fusion

The Attempt at a Solution

m X 2108x15 + m X 336000+ m X 4200 X 100 + m X 2300000 but I don't know where to go frm there :(

 

[anathema]

To calculate the energy required to change a certain mass of ice at -18 degrees Celsius to steam at 100 degrees Celsius, we first need to determine the steps involved in this process.

1. First, we need to calculate the energy required to raise the temperature of the ice from -18 degrees Celsius to 0 degrees Celsius. This can be done using the specific heat capacity (SHC) of ice, which is given as 2108 J/kg°C. The formula for this step would be Q = m x SHC x Δθ, where m is the mass of ice and Δθ is the change in temperature (in this case, it would be 0 - (-18) = 18 degrees Celsius).

2. Next, we need to calculate the energy required to melt the ice at 0 degrees Celsius. This is known as the latent heat of fusion and is given as 336,000 J/kg. The formula for this step would be Q = m x latent heat of fusion.

3. After the ice has melted, we need to calculate the energy required to raise the temperature of the water from 0 degrees Celsius to 100 degrees Celsius. This can be done using the specific heat capacity (SHC) of water, which is given as 4200 J/kg°C. The formula for this step would be Q = m x SHC x Δθ, where m is the mass of water and Δθ is the change in temperature (in this case, it would be 100 - 0 = 100 degrees Celsius).

4. Finally, we need to calculate the energy required to vaporize the water at 100 degrees Celsius. This is known as the latent heat of evaporation and is given as 2,300,000 J/kg. The formula for this step would be Q = m x latent heat of evaporation.

To determine the total energy required, we simply need to add up the energies calculated in each step. So the final formula would be:

Total energy = (m x SHC x 18) + (m x latent heat of fusion) + (m x SHC x 100) + (m x latent heat of evaporation)

I hope this helps. Let me know if you have any further questions.