Use hydrostatic balance and the ideal gas law to show that Poisson's equation and the dry adiabatic lapse rate will give the same parcel temperature only if the environmental lapse rate is equal to the dry adiabatic lapse rate (neutrally stable)

Q: Derive the gas equation connecting pressure and temperature during an adiabatic process.

A: The ideal gas equation is

Q: In an adiabatic expansion along an adiabat, what happens to the temperature of the gas? O increases…

A: During adiabatic expansion of a gas, no heat is transferred to the gas, yet work is done by the gas.…

Q: The energy released from condensation in thunderstorms can be very large. Calculate the energy…

A: Condensation is the process by which water vapor becomes liquid water. This kind of phase change…

Q: Calculate how many liters of hot water at 50 ⁰C temperature can be produced on March by a 4 m² solar…

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Q: Calculate the root-mean-square (rms) speed (in m/s) of ethane (C₂H6) gas molecules at a temperature…

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Q: Please explain how (dH/dS)N,P = T and what the value of (dS/dN)H,P is for a monoatomic ideal gas.

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Q: For a specified fluid pair, inlet temperatures, and mass flow rates, what kind of heat exchanger…

A: Given: Hot and cold side fluids are same for all heat exchanger. Inlet temperatures are constant.…

Q: When using the ideal gas law, PV/NT = k, none of the above T can be in degrees Celsius O P can be…

A: Given ideal Gas equation, PV / NT = k

Q: According to theoretical deductions of Maxwell, the mean kinetic energies of the of all gases are…

A: This is a question regarding the Maxwell distribution of a molecule in a system. The Maxwell…

Q: Subject: thermodynamics if 15m3 of atmospheric air at 15degress centigrade temprature are…

A: We take advantage of the fact that the amount of gas is constant and use Charles's law and Boyle's…

Q: A 21-L tank of carbon dioxide (CO2) is at a pressure of 8 atm and temperature of 19◦C. Calculate…

A: a)Using ideal gas equation PV = n R T 8 atm * 21 L = n * 0.0821 L-atm/K * (19+273)Kn = 7 moles

Q: Consider the adiabatic processes and answer the following question Why do hot air balloons usually…

A: We know from the adiabatic process, that hot air rises.  Using this principle heat the air inside a…

Q: The energy released from condensation in thunderstorms can be very large. Calculate the energy…

A: From the given information, we can say that, ρwater=1000 kg/m3R=1 km=1×103 mh=1 cm=1×10-2…

Q: An automobile wheel contains air with a pressure of 3x10 ^ 5 Pa at 25⁰C. The sipop cover was removed…

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Q: magnitudes of the buoyancy force actin ater, (c) mercury, and (d) an evacuated an ideal gas is ß =…

A: Heat transfer can take place in three different modes namely conduction, convection and radiation.

Q: 11. CO₂ (carbon dioxide) exists in what phase when the pressure is 60 atm and the temperature is…

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Q: What is the work done in adiabatic process when pressure is 2 atmosphere at 20°c

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Q: Can you show how to work this please?

A: The ideal gas equation is,

Q: (@) If z denotes the height above sea level, show that the change of atmos- pheric pressure p with…

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Q: Consider a region of the atmosphere of volume 25 decimeters cubed, which at 30 degrees Celsius…

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Q: Find the total heat capacity at constant volume of 2.35 mol of an ideal diatomic gas where the…

A: When an ideal gas molecules rotate but do not vibrate there will be five degrees of freedom. We know…

Q: 7-128E Air enters an adiabatic nozzle at 45 psia and 9405. with low velocity and exits at 650 f/s.…

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Q: At the inlet to a certain nozzle, the enthalpy of the gas is 3000 kJ/kg and velocity is negligible.…

A: At inlet of nozzle : h1=3000 kJ/kg,        C1=0  Negligible velocity At exit of nozzle : h2=2762…

Q: Derive a relation between the slopes of an isothermal and an adiabatic curve?

A: Isothermal process

Q: Why we cannot use domestic refrigerator for room cooling? Briefly discuss the difference between…

A: Solution: It is not possible to cool a room by opening the door of the domestic refrigerator in the…

Q: Show that the volume dependence of internal energy is written as (OV) Cp - Cy αν -P.

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Q: Explain why the temperature of a gas increases when it iscompressed adiabatically

A: Adiabatic compression

Q: Calculate the most probable speed, average speed, and rms speed for oxygen (02) molecules at room…

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Q: Calculate the work for the expansion of 3 moles of B,H6 at 40°C from 2.74 L to 3.89 L using van der…

A: Given data: The number of moles is 3 The volume is from 2.74 L to 3.89 L T=313 K R=0.246 kJ/kgK

Q: Consider a container of oxygen gas at a temperature of 23°Cthat is 1.00 m tall. Compare the…

A: The potential energy of a molecule at the top of the container is given by, PE=mgh Here, m is the…

Q: 0°C and 1,500 kPa, where its int ne is 169.7 cm³/g. Calculate AU

A: Given as, The temperature of water = 180oC Pressure (P) = 1,002.7 kPa Internal energy (U) = 762 kJ…

Q: The engine of an automobile has an intake air of 20 degrees celsius and compresses it adiabatically…

A: GivenT1=20∘Clet initial volume be Vfinal volume, V2=0.1Vfor air,γ=1.4we have adiabtic…

Q: alculate the amount of heat in J transferred by 1.1 mol of a monoatomic gas at -3°C and 0.8 atm as…

A: Given: The number of the mole is 1.1 mol. The initial temperature is -3oC. The pressure is 0.8 atm.…