Look at the figure describing loss of atmospheric gases below. Which molecule(s)

Question

Look at the figure describing loss of atmospheric gases below. Which molecule(s) can escape from Earth's gravity? From Mars? From Venus? 60 upite 50 40 30 Neptune 20 H2 arii He Venus 10 Mercury Mars H2O, NH3, CH4 iau CO2 Moon 100 200 400 500 600 Temperature (K) O a. From Earth: H2; from Mars: H2 and He; from Venus: H2 b. From Earth: H2 and He; from Mars. H2. He, H2O, CH4, and NH3; from Venus: H2 and H2O. O C. From Earth: H2 and He; from Mars: H2 and He; from Venus: H2 O d. From Earth: H2; from Mars: H2, He, and H2O; from Venus: H2 and He.

Explanation / Answer

The correct answer is: (a) from earth H2, from mars H2 and He and from venus H2.

The formula for escape velocity is:(2*G*M/R). Where G=universal gravitational constant, M= mass of planet, R=Radius of planet.

Data for these three planets are:

For earth-R=6.37*10^6m, M=5.98*10^24kg, escape velocity=11.2km/s, max temperature=329k.

For mars-R=339*10^4m, M=6.39*10^23kg, escape velocity=5km/s, max temperature=293.15k.

For venus-R=6052*10^3m, M=4.867*10^24kg, escape velocity=10km/s, max temperature=735.15k.

Now on comparing escape velocities with temperatures on graph, we can clearly get the answers. Escape velocities have been calculated by data extracted from internet.

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