https://file.aiquickdraw.com/mathbot/file/1726402796879elwhhadt.jpg

The problem in the image is written in Russian, and here is a translation of the task:

"In a freezer, consuming 100 W of power, there is 8 kg of water at a temperature of 0°C. In 1 hour, all the water froze. How much heat was released into the surroundings during this time? The latent heat of fusion for ice is 330 kJ/kg. Assume that during the freezing process, the temperature of the ice remains constant at 0°C. Present the answer in MJ."

### Solution:

We are asked to calculate the amount of heat released when 8 kg of water freezes at 0°C.

The formula for the heat released during freezing (or phase change) is:

\[
Q = m \cdot L
\]

Where:
- \( Q \) is the amount of heat released (in Joules or Megajoules),
- \( m \) is the mass of the water (in kg),
- \( L \) is the latent heat of fusion of ice (330 kJ/kg or 330,000 J/kg).

We are given:
- \( m = 8 \, \text{kg} \),
- \( L = 330 \, \text{kJ/kg} \, = 330,000 \, \text{J/kg} \).

Now, calculate the heat:

\[
Q = 8 \, \text{kg} \times 330,000 \, \text{J/kg} = 2,640,000 \, \text{J} = 2.64 \, \text{MJ}
\]

So, the total amount of heat released into the surroundings is **2.64 MJ**.

Let me know if you would like further details or have any questions!

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Here are some related questions:
1. How does the latent heat of fusion change with different materials?
2. What is the difference between latent heat of fusion and latent heat of vaporization?
3. How would the freezing process change if the water temperature was initially below 0°C?
4. What would happen if the freezer consumed more power? How would that affect freezing time?
5. How can the freezing process of water be modeled more accurately considering real-life heat exchange?

**Tip:** Always convert units consistently when dealing with energy calculations to avoid mistakes.

In a freezer, consuming 100 W of power, there is 8 kg of water at a temperature of 0°C. In 1 hour, all the water froze. How much heat was released into the surroundings during this time? The latent heat of fusion for ice is 330 kJ/kg. Assume that during the freezing process, the temperature of the ice remains constant at 0°C. Present the answer in MJ.

Learn how to calculate the amount of heat released when 8 kg of water freezes at 0°C. This problem covers key thermodynamics concepts, including the heat released during phase change and the latent heat of fusion. Suitable for high school students.

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