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Elevation in Boiling Point

The density o...

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The density of the atmosphere at sea level is 1.29 kg/m3 and g =9.8 m/s2 Assume that both do not change with altitude, how high should the atmosphere extend?

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Q. the density of the atmosphere at sea level is 1.29 kg /

m^{2}

. Assume that it does not change with altitude. The how high would the atmosphere extend?

Q. Assuming that the atmosphere has the same density anywhere as at sea level

(ρ = 1.3 {kg/m}^{3})

g

(g = 10 {m/s}^{2})

, what should be the approximate height of the atmosphere so that the atmospheric pressure at sea level is

p_{0} = 1.01 \times 10^{5} {N/m}^{2}

Q. Assuming that the atmosphere has the same density anywhere as at sea level

(ρ = 1.3 {kg/m}^{3})

g

(g = 10 {m/s}^{2})

, what should be the approximate height of the atmosphere so that the atmospheric pressure at sea level is

p_{0} = 1.01 \times 10^{5} {N/m}^{2}

Q. A perfectly elastic spherical balloon of 0.2 m diameter was filled with hydrogen at sea level. The diameter of the ball (in m) when it has risen to an altitude where the pressure is 0.65 atm is:

(Assume no change temperature and atmospheric pressure at sea level)

Q. (a) It is known that density of air decreases with height y as

ρ = ρ_{0} e^{- y / y_{0}}

ρ_{0}

^{- 3}

is the density at sea level, and y

_{0}

is constant. This density variation is called the law of atmospheres. Obtain this law assuming that the temperature of the atmosphere remains a constant (isothermal conditions). Also, assume that the value of g remains constant.
(b) A large He balloon of volume 1425 m

^{3}

is used to lift a payload of 400 kg. Assume that the balloon maintains constant radius as it rises. How high does it rise?
[Take y

_{0}

ρ_{H e}

^{- 3}

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