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?
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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