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Comparing Gas Pressure After Equal Warming 4 questions
Comparing Gas Pressure After Equal Warming
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Two sealed rigid gas vessels start at the same absolute pressure. They have different starting temperatures. Each warms by 30 °C without a volume change. In each vessel, pressure divided by absolute temperature stays constant. A Celsius temperature difference has the same numerical size in kelvins.
| Vessel | Initial temperature (K) | Initial pressure (kPa) | Temperature rise (K) |
|---|---|---|---|
| P | 270 | 90 | 30 |
| Q | 300 | 90 | 30 |
Question 1
Which vessel has the greater fractional increase in absolute temperature?
- P only
- Q only
- Both have the same fractional increase.
- Both temperatures decrease.
Question 2
Calculate the final absolute pressure in each vessel.
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Question 3
A student says equal initial pressures and equal temperature rises guarantee equal pressure rises. Evaluate the claim with the results.
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The display wants Q to end at 100 kPa without changing the amount or volume of its gas.
Question 4
Find the final temperature required for Q. Give the temperature in kelvins to the nearest whole kelvin.
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