Derive the "Dry adiabatic lapse rate" (Γd) for Jupiter. g=24.79 m/s2. You may ignore the slight offset to gravity casued by the rotation of the planet, and becuase Jupiter's atmosphere is dominated by H2, you may assume it behaves as a diatomic gas. (compsition of Jupiter's atmosphere below)Express your answer in K/km. Fraction by Mass [%]Mole Weight[kg kmol-l]GasH,86.002.00He13.004.00CH40.50016.04H,O0.50018.02

Given: The acceleration due to the gravity of Jupiter is gJ=24.79 m/s2 The behavior of Jupiter's…

Answered: Derive the "Dry adiabatic lapse rate"…

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Part A: 10 moles of ideal gas initially at 10 atm and 250 K is expanded isothermally and reversibly to a final pressure of 2 atm. Calculate W, AU, and Q in Joules. Part B: The same gas in problem A, starting in the same initial state, is expanded isothermally against a constant external pressure of 2 atm, to a final pressure of 2 atm. Calculate W, AU, and Q in Joules for this irreversible process. Part C: The same gas in part B, starting in the same initial state, is expanded isothermally to a final pressure of 2 atm. The process is carried out in 4 stages. First the gas is expanded against a constant pressure of 8 atm, to 8 atm. Then the gas is expanded against a constant pressure of 6 atm, to 6 atm. Then the gas is expanded against a constant pressure of 4 atm, to 4 atm. Finally, the gas is expanded against a constant pressure of 2 atm, to 2 atm. Calculate W, AU, and Q in Joules for the 4-step process.
The image shows the example of finding the number of vacancies in 1 cubic meter of copper (Cu) at 1000 degrees celcius (1273 k) considering the image data. Replicating the problem in the image, calculate the number of vacancies but at room temperature.Explain why there is such a difference in the number of vacancies at both temperatures.
(1) Hydrostatic balance states Op Əz Equation -1 where p is pressure, z is altitude, p is density and g is the acceleration due to gravity. It can be shown that the reciprocal of hydrostatic balance also applies. That is Equation -2 дz Әр = -Pg, = 1 pg Use the ideal gas law (p = pRT, where R is the gas constant for dry air and Tis temperature) to eliminate p from (2). (2) Under geostrophic balance, the following balance is approximately satisfied Equation -3 fu=-g ¹ (3) where f is the Coriolis parameter, u is the zonal wind, y is meridional distance and z is altitude. (Note that the derivative on the right hand side is taken at constant pressure.) Differentiate (3) with respect to p, and use your expression from part 1 to obtain an expression relating du/ap and T/ay. This expression is called "thermal wind balance".
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If we have 35.54L of O2 gas at STP, how many moles of this gas do we have? Note: it is understood that the unit of your answer is some number of moles, however do not explicitly include units in your answer. Enter only a number. If you do enter a unit ("mol" in this case), you answer will be counted wrong. (STP means "standard temperature and pressure," which is 1 atmosphere of pressure or 101,325 Pa, and 273K).