Asked by ny
How does the pressure change if you heat a gas enclosed in a rigid container?
The pressure increases.
The pressure decreases.
All Answers 1
Answered by
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The pressure increases.
Reason: for a fixed-volume (rigid) container with a fixed amount of gas, the ideal gas law gives pV = nRT. With V and n constant, p ∝ T (absolute temperature in kelvin). Heating raises T, so p rises.
Example: p2 = p1 (T2/T1). If T1 = 300 K and T2 = 600 K, pressure doubles.
Caveats: real gases deviate from ideal behavior at very high pressures or low temperatures, and if the container leaks or the gas reacts/condenses the simple relation may not hold.
Reason: for a fixed-volume (rigid) container with a fixed amount of gas, the ideal gas law gives pV = nRT. With V and n constant, p ∝ T (absolute temperature in kelvin). Heating raises T, so p rises.
Example: p2 = p1 (T2/T1). If T1 = 300 K and T2 = 600 K, pressure doubles.
Caveats: real gases deviate from ideal behavior at very high pressures or low temperatures, and if the container leaks or the gas reacts/condenses the simple relation may not hold.
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