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Joining Two Chambers in a Gas Model 5 questions
Joining Two Chambers in a Gas Model
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A model has two rigid chambers connected by a closed gate. Each contains the same gas at 300 K. At this fixed temperature the amount of gas in a chamber is proportional to its absolute pressure multiplied by its volume. The gate can open without letting any gas leave the combined chambers.
| Chamber | Volume (L) | Absolute pressure before opening (kPa) |
|---|---|---|
| Left | 1.0 | 160 |
| Right | 2.0 | 100 |
Question 1
Calculate pressure times volume for each chamber. Which starts with more gas?
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Question 2
Which result should stay fixed when the gate opens and the gas reaches a common pressure at 300 K?
- The left chamber’s original pressure
- The right chamber’s original gas amount
- The total amount of gas in the combined chambers
- The pressure difference between chambers
After opening the gate, the gas occupies the combined volume at one pressure. The model still holds the temperature at 300 K.
Question 3
Calculate the common absolute pressure. Show how the gas in both original chambers enters your setup.
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Question 4
A student averages the two starting pressures equally. Explain why that approach gives a different result here.
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Question 5
Which chamber gains gas after the gate opens? Use its starting and final pressures at fixed volume to explain.
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