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Question

In a neutrally stable atmosphere, the lapse rate is

The correct answer is
equal to dry adiabatic

Neutral Atmospheric Stability: Lapse Rate Explained

Atmospheric stability refers to the tendency of the atmosphere to resist or encourage vertical motion. This stability is assessed by comparing the air's adiabatic lapse rate with the surrounding environmental lapse rate (ELR).

Understanding Neutral Stability

A neutrally stable atmosphere is one where a vertically displaced air parcel, once moved, will neither continue moving upward nor return to its original position. It maintains its displaced altitude.

Lapse Rate Comparison

  • Dry Adiabatic Lapse Rate (DALR): The rate at which a dry air parcel cools as it rises due to expansion. This rate is approximately $ 9.8^\circ \text{C/km} $.
  • Environmental Lapse Rate (ELR): The actual rate at which the surrounding air temperature decreases with an increase in altitude.

Condition for Neutral Stability

Neutral stability occurs specifically when the Environmental Lapse Rate (ELR) is precisely equal to the Dry Adiabatic Lapse Rate (DALR).

Mathematical Condition: $ \text{ELR} = \text{DALR} $

Therefore, in a neutrally stable atmosphere, the lapse rate is equal to the dry adiabatic lapse rate.

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