Soru

Zorluk: OrtaConduction of Electricity Through Gases and Cathode Rays

Gases under atmospheric pressure are generally poor conductors of electricity. However, when the gas pressure inside a discharge tube is lowered to approximately 0.1 mmHg0.1\text{ mmHg} under a high potential difference, electrical conduction readily occurs. What is the primary physical reason for this increase in electrical conductivity at reduced pressures?

  1. The mean free path of ions increases, enabling them to gain sufficient kinetic energy to produce collisional ionization.Cevap
  2. B
    The frequency of molecular collisions increases significantly, generating thermal ions spontaneously.
  3. C
    The gas density increases at low pressure, providing a greater number of charge carriers per unit volume.
  4. D
    Neutral gas molecules decompose spontaneously into electrons without requiring collision energy.

Cevap

The increased conductivity at low pressures occurs because the mean free path of free ions increases, allowing them to accelerate under the high electric field and gain enough kinetic energy to cause ionization by collision with neutral gas atoms.
The correct option correctly states that reducing gas pressure increases the mean free path of ions. Under high applied potential differences, these ions travel longer distances uninterrupted, acquiring enough kinetic energy to ionize neutral gas molecules upon impact and causing electrical breakdown.

Adım Adım Çözüm

1
Analyze gas density at reduced pressure
Lowering the gas pressure reduces the number density of molecules inside the discharge tube.
Gas pressure is directly proportional to molecule concentration.
2
Determine the impact on mean free path
The mean free path (average distance traveled between successive collisions) increases.
Fewer gas molecules per unit volume mean fewer obstructions per unit distance.
3
Relate mean free path to kinetic energy and ionization
Ions accelerate over longer distances, acquiring kinetic energy K=qEdK = qE \cdot d exceeding the ionization potential of the gas, causing collisional ionization.
Sufficient kinetic energy allows colliding ions to knock electrons out of neutral atoms, generating avalanche conduction.

Anahtar Kavram

Collisional Ionization and Mean Free Path in Gas Discharge
Bu soruyu puanla