The adiabatic lapse rate is a fundamental concept in atmospheric science and refers to the rate of temperature change with altitude in a parcel of dry air with no heat exchange with its surroundings. In a neutrally stable atmosphere, the parcel of air rises or falls without any acceleration, maintaining a temperature profile consistent with this lapse rate.
The dry adiabatic lapse rate is typically approximately \(9.75^\circ C\) per kilometer. This rate is used to describe the idealized behavior of such an air parcel when it is unsaturated (i.e., containing no liquid water). Changes in temperature due to vertical movements in the atmosphere without condensation or evaporation follow this lapse rate.
Considering the options provided:
The correct answer, based on the definition and atmospheric principles of unsaturated lapse conditions, is \(9.75^\circ C\) per kilometer.