10. Derive the “Dry Adiabatic Lapse Rate" (I'D) for Jupiter. Use gj = GM/R2, where Gis the universal gravitational con- stant (6.673 x 10-11 Nm²kg¯2), Mis the mass of Jupiter (1.899 x 1027 kg), and Ris the radius of the planet (71.49 x 106 m). You may ignore the slight offset to gravity caused by the rotation of the planet, and because Jupiter's at- mosphere is dominated by H2, you may assume it behaves as a diatomic gas. The composition of Jupiter's atmosphere is as follows: Gas Fraction by Mass [%] Mole Weight [kg kmol-1] H2 86.00 2.00 Не 13.00 4.00 CH4 0.500 16.04 H20 0.500 18.02 Express your answer in K/km. How does it compare to Earth's Dry Adiabatic Lapse Rate?

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10. Derive the “Dry Adiabatic Lapse Rate" (ITD) for Jupiter. Use gj = GM/R2, where Gis the universal gravitational con-
%3D
-11
stant (6.673 x 10- Nm2kg 2), Mis the mass of Jupiter (1.899 × 1027 kg), and Ris the radius of the planet (71.49 ×
106 m). You may ignore the slight offset to gravity caused by the rotation of the planet, and because Jupiter's at-
mosphere is dominated by H2, you may assume it behaves as a diatomic gas. The composition of Jupiter's atmosphere
is as follows:
Gas
Fraction by Mass [%]
Mole Weight
(kg kmol¯1]
H2
86.00
2.00
Не
13.00
4.00
CH4
0.500
16.04
Н20
0.500
18.02
Express your answer in K/km. How does it compare to Earth's Dry Adiabatic Lapse Rate?
Transcribed Image Text:10. Derive the “Dry Adiabatic Lapse Rate" (ITD) for Jupiter. Use gj = GM/R2, where Gis the universal gravitational con- %3D -11 stant (6.673 x 10- Nm2kg 2), Mis the mass of Jupiter (1.899 × 1027 kg), and Ris the radius of the planet (71.49 × 106 m). You may ignore the slight offset to gravity caused by the rotation of the planet, and because Jupiter's at- mosphere is dominated by H2, you may assume it behaves as a diatomic gas. The composition of Jupiter's atmosphere is as follows: Gas Fraction by Mass [%] Mole Weight (kg kmol¯1] H2 86.00 2.00 Не 13.00 4.00 CH4 0.500 16.04 Н20 0.500 18.02 Express your answer in K/km. How does it compare to Earth's Dry Adiabatic Lapse Rate?
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