Question

Practice

1. Nitrogen and oxygen
en and oxygen in their liquid states have densities only 0.8 and 0.9
water. Atmospheric pressure is due primarily to the weight of nitro-
and oxygen gas in the air. If the atmosphere liquefied, would its depth
be greater or less than 10.3 m?​

Answer 1

In both cases the height is greater than 10.3 m

Step-by-step explanation:

Pressure is defined by the relationship

P = F / A

in this case the force is the weight of the two gases

F = W = m g

If we use the definition of density

ρ = m / V

V = A h

m = ρ A h

we substitute

P = ρ g h

h =
`(P)/(\rho g)`

For this case the density of the gases is

ρ' = 0.9
`\rho_(water)`

h =
`(P)/(0.9 \ \rho_(water) g)`

we calculate

ρ’= 0.9 \rho_{water}

h = 1 105 / (0.9 1000 9.8)

h = 11.3 m

ρ’= 0.8 \rho_{water}

h = 1 105 / (0.8 1000 9.8

h = 12.8 m

In both cases the height is greater than 10.3 m