Math Problem Statement

Later, the temperature of each block is measured again. Which pair of temperatures is possible?

Solution

The initial temperatures of the blocks are given as:

  • Block 1: 90°C
  • Block 2: 173°C

The question is asking which pair of temperatures is possible when each block's temperature is measured again.

For heat transfer to occur between Block 1 and Block 2, the temperatures of both blocks should move toward equilibrium. The temperature of Block 1 (90°C) would likely increase, and the temperature of Block 2 (173°C) would likely decrease.

Let's analyze each option:

  1. 102°C for Block 1 and 161°C for Block 2

    • This is possible, as Block 1's temperature has increased and Block 2's temperature has decreased, moving closer to equilibrium.
  2. 34°C for Block 1 and 117°C for Block 2

    • This is unlikely, as Block 1's temperature has dropped significantly below its initial temperature, which would require an external cooling source, not simple heat transfer.
  3. 161°C for Block 1 and 102°C for Block 2

    • This is possible, as it follows the same logic as option 1, with Block 1 increasing and Block 2 decreasing in temperature.
  4. 171°C for Block 1 and 173°C for Block 2

    • This is unlikely, as Block 1 would not naturally increase close to Block 2's original high temperature without additional heating.

Conclusion:
The possible temperature pairs are 102°C for Block 1 and 161°C for Block 2 or 161°C for Block 1 and 102°C for Block 2.

Would you like a detailed explanation of heat transfer principles involved?

Additional Questions

  1. What factors influence heat transfer between two objects?
  2. How does thermal equilibrium work between two objects with different initial temperatures?
  3. What are common misconceptions about temperature changes during heat transfer?
  4. Why does temperature equalize between two objects in contact?
  5. How does the initial temperature difference affect the rate of heat transfer?

Tip

Remember, heat transfer always occurs from the hotter object to the colder object until they reach a balanced (equilibrium) temperature.

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Math Problem Analysis

Mathematical Concepts

Heat Transfer
Thermal Equilibrium

Formulas

No specific formulas, but involves understanding of heat flow and equilibrium

Theorems

Thermal Equilibrium Principle

Suitable Grade Level

Grades 6-8