Question

What is the adiabatic lapse rate formula for an ideal gas?

1) γ = (g/cp)
2) γ = (cp/g)
3) γ = (R/cp)
4) γ = (cp/R)

Answer 1

The adiabatic lapse rate formula for an ideal gas is Γ = (g/cp), where Γ is the lapse rate, g is the gravitational acceleration, and cp is the specific heat at constant pressure.

Step-by-step explanation:

The question refers to the adiabatic lapse rate formula for an ideal gas. The adiabatic lapse rate (Γ) indicates how temperature changes with altitude in the absence of heat exchange. For an ideal gas undergoing an adiabatic process (no heat transfer), the adiabatic lapse rate is given by Γ = (g/cp), where g is the acceleration due to gravity and cp is the specific heat at constant pressure. Therefore, the correct formula from the provided options is 1) Γ = (g/cp).