D. How many 1 mm drizzle drops could you make from all the cloud drops? E. How much energy was released when this water condensed from vapor to liquid? If the water condensed in 20 minutes (a reasonable lifetime for a small cloud), what was the power (energy per time)?

Horizons: Exploring the Universe (MindTap Course List)
14th Edition
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Author:Michael A. Seeds, Dana Backman
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Chapter9: The Formation And Structure Of Stars
Section: Chapter Questions
Problem 4P
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See second slide for A,B,C values

А.
Number of drops, N = nV = 108 × 106 = 1014
%3D
Now galaxy Milky way has about 100 bilion stars, Nstar = 10" stars
Comparison :
1014
1011
N
:1000
Nstar
В.
Volume of water drop :
3
ar' = n x (10 × 10-6)’ = 4. 19 × 10-15 m³
V =
Total volume of water :
V
water =
Nv = 1014 x 4. 19 × 10-15 = 0.419 m³
Total mass :
Mwater = pV water
1000 x 0.419 = 419 kg
Mass of elephant is MElephant
5000 kg
So Mwater is very less than MElephant
c)
Fraction of cloud filled with condensed water :
V water
0.419
= 4. 19 x 10-7
F =
V cloud
106
Transcribed Image Text:А. Number of drops, N = nV = 108 × 106 = 1014 %3D Now galaxy Milky way has about 100 bilion stars, Nstar = 10" stars Comparison : 1014 1011 N :1000 Nstar В. Volume of water drop : 3 ar' = n x (10 × 10-6)’ = 4. 19 × 10-15 m³ V = Total volume of water : V water = Nv = 1014 x 4. 19 × 10-15 = 0.419 m³ Total mass : Mwater = pV water 1000 x 0.419 = 419 kg Mass of elephant is MElephant 5000 kg So Mwater is very less than MElephant c) Fraction of cloud filled with condensed water : V water 0.419 = 4. 19 x 10-7 F = V cloud 106
As we discussed, clouds are made of a great many small drops. Really - a great many. Imagine a
liquid cloud that fills a volume of 1 km3. The clouds contains 100 drops per cubic centimeter; for
the sake of argument assume that each is 10 microns (micrometers) in radius.
A. How many drops does the cloud contain? Compare this to a big number - say, the number of
stars in the galaxy.
B. What mass of water does the cloud contain? Compare this to something big - elephants,
trucks, that sort of thing.
C. What fraction of the cloud volume is filled with condensed water? One way to approach this
is to compare the density of the suspended liquid water to the density of the surrounding air.
D. How many 1 mm drizzle drops could you make from all the cloud drops?
E. How much energy was released when this water condensed from vapor to liquid? If the
water condensed in 20 minutes (a reasonable lifetime for a small cloud), what was the
(energy per time)?
power
Transcribed Image Text:As we discussed, clouds are made of a great many small drops. Really - a great many. Imagine a liquid cloud that fills a volume of 1 km3. The clouds contains 100 drops per cubic centimeter; for the sake of argument assume that each is 10 microns (micrometers) in radius. A. How many drops does the cloud contain? Compare this to a big number - say, the number of stars in the galaxy. B. What mass of water does the cloud contain? Compare this to something big - elephants, trucks, that sort of thing. C. What fraction of the cloud volume is filled with condensed water? One way to approach this is to compare the density of the suspended liquid water to the density of the surrounding air. D. How many 1 mm drizzle drops could you make from all the cloud drops? E. How much energy was released when this water condensed from vapor to liquid? If the water condensed in 20 minutes (a reasonable lifetime for a small cloud), what was the (energy per time)? power
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