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It seems the text extraction from the image was unsuccessful. Let me take a closer look at the image visually to see if I can manually transcribe and solve the problem for you.The image appears to contain a word problem about temperature and rates. Here’s the transcribed problem:

"2. A furnace reduces iron ore at a rate of 5.4 tons/h. The product comes out at 600°C and is dumped into bins. Air-cooling causes approximately 20°C/h temperature decrease in the ore initially. If the ore cools at the same rate, what would be the ore temperature after 2 hours?"

### Step-by-step solution:

1. The ore comes out of the furnace at **600°C**.
2. The cooling rate is **20°C per hour**.
3. We are asked to find the temperature after **2 hours**.

The temperature decrease after 2 hours is:

\[
\text{Decrease} = 20 \, \text{°C/h} \times 2 \, \text{hours} = 40 \, \text{°C}
\]

Therefore, the temperature after 2 hours would be:

\[
\text{Temperature after 2 hours} = 600 \, \text{°C} - 40 \, \text{°C} = 560 \, \text{°C}
\]

Thus, the ore's temperature after 2 hours will be **560°C**.

Would you like further details on this, or have any questions?

### Additional Questions:
1. How would the temperature change after 4 hours?
2. What would the temperature be if the cooling rate increased to 25°C/h?
3. How long will it take for the ore to cool to 500°C?
4. If the ore cools at a variable rate, how would you model the temperature change?
5. What effect does the cooling process have on the overall efficiency of the furnace?

#### Tip:
When working with rates, always ensure that units match and time frames are consistent to avoid calculation errors.

A furnace reduces iron ore at a rate of 5.4 tons/h. The product comes out at 600°C and is dumped into bins. Air-cooling causes approximately 20°C/h temperature decrease in the ore initially. If the ore cools at the same rate, what would be the ore temperature after 2 hours?

Find out how to calculate the temperature of iron ore after 2 hours of cooling at a rate of 20°C per hour. The ore comes out of the furnace at 600°C and cools linearly. This solution explains the key mathematical concepts involved, suitable for students in Grades 7-9.

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