college/earth science

posted by .

if unsaturated air at 23 degree celsius were to rise, what would its temperature be at 500 meters?

  • college/earth science -

    23 C = 300 K

    The air density at the initial altitude (assuming sea level) is (29 g)/(24.6 *10^3 cm^3) = 1.18*10^-3 g/cm^3 = 1.18 kg/m^3

    The pressure decrease after a 500 m elevation increase is
    (density)*g*500 m = 5780 N/m^2
    The pressure decrease factor is
    (Po - 5780)/Po = 0.990, where
    Po is the sea level atmospheric pressure.

    Assume an adiabatic isentropic change in air temperature as the pressure decreases, with an air specific heat ratio (gamma) of g = 1.4.
    (T2/T1) = (P2/P1)^[(g-1)/g]
    = 0.990^(0.286) = 0.997
    T2 = 299 K = 22 C

    If you need a more complete explanation, see
    http://farside.ph.utexas.edu/teaching/sm1/lectures/node56.html

    I may have made a computing error somewhere along the way. You should verify the calculations

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Geog

    2- at sea level the air temperature is 80 degree F. this air reaches the dewpoint at 6,000’. The air continues to rise, pushed up by trade winds, over a mountain that is 12,000’ high. If the dry adiabatic rate is 5.5 degree F/ …
  2. CHEMISTRY

    IF THE AIR IS 20 DEGREE CELSIUS IT'S HOT, IF THE WATER IS WITH 20 DERGEE CELSIUS IT'S HOTTER THAN AIR, IF STEAM HAS 20 DEGREE CELSIUS IT'S VERY HOT. WHY IS THAT EVEN IF THE TEMPERATURE IS THE SAME?
  3. Earth Science

    what is the dewpoint temperature of a kilogram of air when a psychrometer measures an 8 degree Celsius dry-bulb temperature and a 6 degree Celsius wet-bulb reading?
  4. physics

    A 500 g piece of silver at 150 degree Celsius is submerged in 1000 g of water at 5 degree Celsius to be cooled. determine the final temperature of silver and water given Cwater = 4.18 x 10 ^3 J/kg degree Celsius Csilver = 2.4 x 10^2 …
  5. college algebra

    1.the temperature dropped 12 degree below a previous temperature of 37.5degree C.What was the resulting temperature?
  6. math

    the temperature at 12 noon was 10 degree Celsius above 0.decrease at the rate of 2 degree Celsius per hour until midnight at what time would temperature be 8 degree Celsius below zero?
  7. chemistry

    an average adult inhales a volume of 0.50 liter of air into the lungs with each breath.If the air is warmed from room temperature (20 degree celsius) to body temperature (37 degree celsius),what is the volume of air exhaled?
  8. Chemistry

    A 100.00 ml of volume of 0.500 M HCl was mixed with 100.00 ml of 0.500 M KOH in a constant pressure calorimeter. The initial temperature of individual acid and base was 23.0 degree celsius. The final temperature after mixing was 25.5 …
  9. Science(chemistry)

    Some students believe that teachers are full of hot air. If I inhale 2.2 litres of gas at a temperature of 18 degree Celsius and it heats to a temperature of 38 degree Celsius in my lungs,what is the new volume of the gas?
  10. physics

    A closed inexpansible vessel contains air saturated with water vapour at 77 degree Celsius.The total pressure in the vessel is 1007mmHg.Calculate the new pressure if the temperature is reduced at 27 degree Celsius (S.V.P of water at …

More Similar Questions