How Much Heat Is Needed to Convert 1 kg of Ice at -100°C to Steam at 100°C?

[Ignition]

How much heat is needed to convert 1 kg of ice at −100C to steam at 1000C?.
Remember ice and water do not have the same specific heat.
I can use the relation for specific heat?

 

[Kurdt]

You will have to use latent heats as well for phase changes.

 

[Moetasim]

The specific heat of ice water is a well-known property of water and is defined as the amount of heat energy required to raise the temperature of one gram of water by one degree Celsius. This value varies depending on the phase of water, with the specific heat of ice being different from that of liquid water. At a temperature of -100°C, the specific heat of ice is approximately 2.03 J/g°C.

To calculate the amount of heat needed to convert 1 kg of ice at -100°C to steam at 100°C, we can use the relation for specific heat. First, we need to determine the amount of heat needed to raise the temperature of the ice from -100°C to 0°C. This can be calculated by multiplying the mass of ice (1 kg) by the specific heat of ice (2.03 J/g°C) and the change in temperature (100°C). This gives us a value of 203,000 J.

Next, we need to consider the amount of heat needed to melt the ice into liquid water. This is known as the latent heat of fusion and is equal to 334,000 J/kg for water. Therefore, the total amount of heat needed to convert 1 kg of ice at -100°C to water at 0°C is 334,000 J.

To continue the conversion from water to steam, we also need to consider the specific heat of liquid water which is approximately 4.18 J/g°C. Using the same calculation method as before, we can determine that the amount of heat needed to raise the temperature of 1 kg of water from 0°C to 100°C is 418,000 J.

Finally, we need to consider the latent heat of vaporization, which is the amount of heat needed to convert liquid water to steam. This value is 2,260,000 J/kg for water. Therefore, the total amount of heat needed to convert 1 kg of ice at -100°C to steam at 100°C is 3,012,000 J.

In conclusion, a total of 3,012,000 J of heat energy is needed to convert 1 kg of ice at -100°C to steam at 100°C, taking into account the different specific heat and latent heat values of ice, water, and steam. This calculation highlights the significant amount of energy required for this phase change process and emphasizes the importance of understanding specific heat and other thermodynamic properties in scientific