Question

Other observations by the Cassini probe have confirmed that Titan has a thick atmosphere of nitrogen and methane with a density of about 10 times that of the Earth’s atmosphere. Is this finding completely consistent with Titan’s position on the atmospheric retention plot? Explain. (Make sure that show icy bodies and moons is checked as well as the gasses methane and nitrogen).

Answer 1

9.493 e-01

Step-by-step explanation:

Given that Titan's temperature at thermal equilibrium = 100 K

Determine the fraction of the atmosphere that is methane

at an altitude of 2 km

applying Ideal gas law

P = Po e^ -Z/k ---- ( 1 )

In this question Z = M₀ g z ( replace -Z in equation 1 with M₀gz )

P = Po e^- M₀gz / RT ------ ( 2 )

where : Mo = 16 * 10^ -3 kg/mol , g = 1.35 m/s^2 , z = 2 * 10^3 m , R = 8.3 J/mol.k , T = 100 k

insert values Back to equation 2

P = Po e^-0.052

P = 0.9493 Po

hence the fraction of the atmosphere that is methane

= P / Po = 9.493 * 10^-1

= 9.493 e-01