Problems A B and M only!! llunsity is kg m 3, find the change of pressure (kPa)

Question

Problems A B and M only!! llunsity is kg m 3, find the change of pressure (kPa) you would feel if your altitude increases by km. a. 2 d. 9 e, 11 f. 13 g. 16 A12. At a location in the atmosphere where the aver- age virtual temperature is 50C, find the height dif- ference (i.e., the thickness in km) between the fol- lowing two pressure levels (kPa): a. 100, 90 b. 90, 80 c. 80, 70 d. 70, 60 e. 60, 50 f 50, 40 g. 40, 30 h. 30, 20 i. 20, 10 j. 100, 80 k. 100, 70 1. 100, 60 m. 100, 50 n. 50, 30 A13. Name the isopleths that would be drawn on a regions of equal indicate

Explanation / Answer

a.According to the hypsometric equation

h=z2-z1=R.T/g * In (P1/P2)

where h= thickness of the layer(m)

z2-z1= height difference(m)

T= average temperature(K)=5 degree celsius=278.15 K

R= specific gas constant=287J/K/kg

g= gravitational acceleration=9.8m/s2

P=pressure (Pa)

P1=100Kpa

P2=90Kpa

h=287*278.15/9.8*In(100/90)

=79829.05/9.8*In(1.1)

=8145.8*0.09

=733.122m

b. h=287*278.15/9.8*In(90/80)

=8145.8*In(1.125)

=8145.8*0.117

=953.05m

m. P1=100Kpa

P2=50Kpa

H=287*278.15/9.8*In(100/50)

=8145.8*In(2)

=8145.8*0.693

=5645.3m or 5.6km

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