The expression of atmospheric pressure as a function of altitude

Updated on technology 2024-05-18
7 answers
  1. Anonymous users2024-02-10

    Pressure height formula Definition of scientific terms Chinese name: pressure height formula English name: barometric height formula Definition:

    A formula that describes the law of air pressure as a function of altitude. The basic form is: pz=p0exp(-1 r z0 g t dz), where p0 is the ground pressure, r is the air specific gas constant, g is the gravitational acceleration, and t is the temperature.

    Discipline: Atmospheric Science (first-level discipline); Atmosphere (Secondary Discipline) This content is approved and published by the National Committee for the Examination and Approval of Scientific and Technological Terms. Barometric height formula A formula that describes the change of air pressure with altitude. Assuming that the atmosphere is at rest relative to the ground, the pressure value at a point is equal to the weight of the column of lead air per unit area at that point.

    As shown in the figure below, a thin air column with an area of 1 cm2 and a thickness of z is intercepted in the atmospheric column. Let the air pressure at altitude Z1 be P1, the air pressure at altitude Z2 be P2, the air density will be , and the gravitational acceleration will be G. Under static equilibrium, the difference between the air pressure P1 on the Z1 plane and the air pressure P2 on the Z2 plane should be equal to the weight of the thin air column between the two height planes, i.e.,

    p2-p1=- p=- g(z2-z1)=- g z, where the minus sign indicates that the air pressure decreases with the increase of altitude. If z tends to be infinitesimal then the above equation can be written as: -dp= gdz This is the atmospheric static equation applied in meteorology.

    The equation states that the rate of decreasing air pressure with altitude depends on the change in air density ( ) and gravitational acceleration (g). The change in gravitational acceleration (g) with altitude is generally small, so the speed of the decrease in air pressure with altitude is mainly determined by the density of the air. In dense air layers, the air pressure decreases rapidly with high air pressure and vice versa.

    It has been proved in practice that although the static equation is a theoretical equation of the stationary atmosphere, its error is only 1 except in local areas with strong convective motion, so it is widely used.

  2. Anonymous users2024-02-09

    The expression for atmospheric pressure is as follows:

    The three formulas of gas pressure are PV=M MRT; p=f/s;P liquid = PGH.

    1. Ideal gas pressure formula: PV=NRT, where P is the gas pressure, V is the gas volume, N is the number of gas moles, R is the gas constant, and T is the thermodynamic temperature.

    2. Pressure formula: solid pressure p=f s pressure: p pascal (pa) pressure:

    f Newton (n) Area: s square meter ( ) Liquid pressure p=jgh pressure: p Pascal (Pa) Liquid density:

    1 kg per cubic meter (kg m3).

    3. The gas pressure formula: PV=NRTP1V1 T1=P2V2 T2 compares the pressure, volume and temperature of the same ideal gas system. Therefore, with PV t=nrr as a constant, the same ideal gas system n is unchanged.

    Atmospheric pressure. Atmospheric pressure refers to the pressure produced by the air at a certain location on the earth. The air on the surface of the earth is subjected to gravity, which produces atmospheric pressure The density of the air layer above the earth is not equal, the air near the surface layer is denser, and the air in the upper layers is thin and less dense Since the atmospheric pressure is generated by the gravity of the air, where the height is large, the height of the air column above it is small, and the density is also small.

    So the higher you are from the ground, the lower the atmospheric pressure Normally, below 2 kilometers, for every 12 meters of altitude, the atmospheric pressure decreases by 1 millimeter of mercury.

    Both gases and liquids are fluid, and their pressures are similar, with large air pressures in all directions and equal atmospheric pressures in all directions at the same location. However, since the density of the atmosphere is not uniform, the calculation of atmospheric pressure cannot be based on the liquid pressure formula.

  3. Anonymous users2024-02-08

    The atmospheric pressure at different altitudes is different, and the atmospheric pressure decreases with the increase of altitude.

    So the answer is: no; Decrease

  4. Anonymous users2024-02-07

    The atmospheric pressure at different altitudes is different, and the atmospheric pressure decreases with the increase of altitude.

    So the answer is: no; Decrease

  5. Anonymous users2024-02-06

    The atmospheric pressure decreases with the increase of altitude, and the higher the altitude, the lower the atmospheric pressure; At the edge of the atmosphere the air is thin and dense, and since the outside is vacuum, the atmospheric pressure at the edge of the atmosphere is extremely small, about 0Pa

    So the answer is: decrease; 0.

  6. Anonymous users2024-02-05

    Atmospheric pressure is related to altitude, and decreases with the increase of the high handicap front, so the statement that "the atmospheric base coarse pressure increases with the increase of the height of the canopy" is wrong

    So the answer is: false

  7. Anonymous users2024-02-04

    The higher the atmospheric pressure value is above sea level, the smaller it is"Right.

    The atmospheric pressure decreases uniformly with increasing altitude"No, when the tolerance of the high spike is not too high (no more than 1000m), it can be approximated that the atmospheric pressure decreases by 1 mm Hg for every 12 m of increase, and the altitude is too high, and the purity of the rock group decreases with the increase of altitude.

    The relationship between atmospheric pressure and altitude and temperature is:

    p=po*e^(-ugh/rt)

    po is the atmospheric pressure at sea level.

    p is the atmospheric pressure at an altitude of h.

    e=, which is the base of the natural logarithm.

    u=, the molar mass of air.

    h is the height. r=, a universal gas constant.

    g is the acceleration due to gravity.

    t is the Kelvin temperature.

Related questions
7 answers2024-05-18

The earth is surrounded by a thick layer of air, which is known as the atmosphere. Air can flow as freely as water, and it is also subject to gravity. Hence there is pressure in the interior of the air in all directions, and this pressure is known as atmospheric pressure. >>>More

14 answers2024-05-18

1 egg is sucked into the bottle.

Principle: The oxygen consumption in the bottle causes the air pressure inside the bottle to be less than the outside air pressure, and the egg enters the bottle under the action of atmospheric pressure. >>>More

9 answers2024-05-18

Measure atmospheric pressure.

The experimental procedure is as follows: >>>More

20 answers2024-05-18

Atmospheric pressure is caused by the fact that air has weight; Air is fluid. >>>More