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Zorluk: KolayPneumatics and Gas Laws

A perfectly sealed, rigid steel air compressor tank is left outside in direct sunlight on a very hot summer day. As the temperature of the trapped air inside the tank increases, what will happen to the internal air pressure?

  1. The pressure will increase.Cevap
  2. B
    The pressure will decrease.
  3. C
    The pressure will stay constant because the tank volume is fixed.
  4. D
    The pressure will drop as the heated air molecules move faster.

Cevap

The pressure will increase.
According to Gay-Lussac's Law, the pressure of a fixed mass of gas is directly proportional to its temperature when the volume remains constant. As the air inside the rigid steel tank absorbs heat from the sun, the air molecules gain kinetic energy. They move faster and collide with the internal walls of the tank more frequently and with greater force, which results in a higher internal pressure.

Adım Adım Çözüm

1
Identify the relationship between temperature and pressure for a trapped gas.
Gay-Lussac's Law states that pressure is directly proportional to absolute temperature when volume is constant.
The tank is described as 'rigid' and 'perfectly sealed', meaning the volume cannot change.
2
Apply the temperature change to the system.
The sunlight heats the tank, increasing the temperature of the air inside.
To determine the final state of the gas.
3
Determine the outcome based on the direct relationship.
Because temperature increases, pressure must also increase.
Higher temperature means higher kinetic energy; molecules strike the rigid walls harder and more frequently.

Anahtar Kavram

Gay-Lussac's Law (Temperature-Pressure Relationship)
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Konular

Pneumatics and Gas Laws

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