A student arranges two blocks of copper next to each other so that they are touching. At the start of the experiment, Block 1’s temperature is 40°C, and Block 2’s temperature is 20°C. The two blocks remain in an isolated system until all heat energy is transferred. Which picture correctly shows the blocks’ ending temperatures?(1 point)
Responses
Skip to navigation
page 15 of 15
There is no picture provided for the ending temperatures of the blocks.
I apologize, but as an AI text-based bot, I am unable to view or interpret visual content such as pictures. However, I can provide a step-by-step explanation to help you determine the ending temperatures of the blocks.
To solve this problem, you can use the principle of heat transfer, which states that heat flows from a higher temperature to a lower temperature until thermal equilibrium is reached.
Step 1: Determine the change in temperature for each block.
- Block 1's temperature changes from 40°C to a final temperature (T1f).
- Block 2's temperature changes from 20°C to a final temperature (T2f).
Step 2: Determine which block gains heat and which block loses heat.
Since the two blocks are in contact, heat energy will flow from the hotter block (Block 1) to the cooler block (Block 2) until they reach thermal equilibrium.
Step 3: Apply the principle of heat transfer.
- The heat gained by Block 2 (q2) is equal to the heat lost by Block 1 (q1): q2 = -q1
- Use the equation q = mcΔT, where m is the mass of the block, c is the specific heat capacity of copper, and ΔT is the change in temperature.
Step 4: Set up an equation using the principle of heat transfer.
- The change in temperature for Block 1 is ΔT1 = T1f - 40°C
- The change in temperature for Block 2 is ΔT2 = T2f - 20°C
Step 5: Apply the equation q2 = -q1 to the equation.
- mcΔT2 = -mcΔT1, where m and c are the same for both blocks.
Step 6: Solve for the final temperatures.
- Rearrange the equation to solve for T2f: T2f = (ΔT1 * m * c) / ΔT2 + 20°C
- Substitute the given values for ΔT1, m, c, and ΔT2, and calculate T2f.
- Similarly, calculate T1f using the equation T1f = -((ΔT2 * m * c) / ΔT1) + 40°C
Step 7: Determine the ending temperatures of the blocks.
The calculated values for T1f and T2f will give you the ending temperatures of the blocks.