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The compression of air in a jet turbine is often approximated as an adiabatic process.
The governing equation is pv^(gamma) is constant in an adiabatic process. Gamma is the ratio Cp/Cv, where Cp is the specific heat for a constant pressure process and Cv is the specific heat for a constant volume process. Combining this with the ideal gas law you can derive the temperature-pressure relationship
T2/T1 = (p2/p1)^(kappa)
where kappa = (gamma-1)/gamma.
Keep in mind that everything has to be in absolute units (e.g. temperature in kelvins and pressure in Pa,absolute.)
For a diatomic gas, gamma=1.4, so kappa=0.286.
Therefore, the final temperature is
T2=T1*(p2/p1)^(kappa)
=213 K * (1000/250)^0.286
= 213 * 1.48658
= 316.6 K.
This is the ideal case. For engineering calculations a lower value of gamma is sometimes used (say 1.3).
What else can I help you with?
What condition is pressure altitude and density altitude the same value?
At standard temperature.
In which layers does the temperature decrease as altitude increases?
Temperature will decrease as the altitude increases at all levels due to the thinning of atmospheric gasses.
Temperature is 29 degrees and relative humidity is 50 percent what is the altitude?
The altitude cannot be determined based solely on temperature and relative humidity. Altitude is primarily based on air pressure, not temperature and humidity. Additional information, such as air pressure or location, would be needed to accurately determine altitude.
The rate at which temperature decreases with increasing altitude is known as?
The rate at which temperature decreases with increasing altitude is known as the lapse rate.
How do temperature change with altitude in the stratosphere?
In the stratosphere, temperature increases with altitude due to the absorption of ultraviolet (UV) radiation by the ozone layer, which is concentrated in this atmospheric layer. As altitude increases, the ozone absorbs more UV radiation, leading to a rise in temperature. This contrasts with the troposphere below, where temperature typically decreases with altitude. The temperature inversion in the stratosphere creates a stable atmospheric layer, preventing vertical mixing.
What is the average altitude of an airplane?
A commericial airliner flies at around 35,000 feet. (30-40,000)
How does altitude relate to temperature?
The higher the altitude the lower the temperature.
What is the relationship between temperature and altitude in the exosphere?
In the exosphere, temperature increases with altitude. This is because the particles in the exosphere are far apart, so there is no transfer of heat through conduction or convection. Instead, the few particles present gain energy from solar radiation, causing an increase in temperature as altitude increases.
WHAT Is the difference between stratosphere and mesosphere?
The stratosphere's temperature increases as altitude increases. The mesosphere's temperature decreases as it's altitude increases. This is helpful
Does air pressure and temperature change with altitude?
Yes, air pressure decreases with altitude because the atmosphere becomes less dense. In contrast, temperature changes can vary with altitude; typically, temperature decreases with altitude, but there are atmospheric layers where temperature may increase, known as inversions.
How does the density and temperature change as you move from one atmosphere layer to the next?
As you move from the troposphere to the stratosphere, temperature generally increases with altitude due to the absorption of ultraviolet radiation by the ozone layer. Conversely, in the troposphere, temperature decreases with altitude because of the decreasing pressure and density of air. Density also decreases with altitude in both the troposphere and stratosphere, as the air becomes less compressed and thinner at higher elevations. This trend continues through the mesosphere and into the thermosphere, where temperature again rises sharply despite the low density.
What is the relationship between temperature and altitude in a Noise?
A: There is a direct relationship between altitude and temperature. As altitude increases there is less air available to remove the dissipated heat therefore locally the temperature rises but environment temperature as a whole decreases. I don't see any relationship with any noise with altitude
Does temperature increase or decrease with altitude in the mesosphere?
Temperature decreases with altitude in the mesosphere due to the decrease in atmospheric pressure with height. This is because the mesosphere is above the stratosphere where the ozone layer absorbs incoming solar radiation, leading to a decrease in temperature as altitude increases.
How the atmosphere vary with altitude?
Temperature decreases with increasing altitude, Also air concentration decreases with altitude.
What is the relationship between temperature and altitude in a temperature inversion?
Normally, temperature decreases as altitude increases. In a temperature inversion, the temperature increases as altitude increases, up to the level of air that is causing the inversion. See "Temperature change as altitude increases?" for info on how temperature normally decreases with altitude when there is not a temperature inversion.The rate at which the temperature goes down is down 1.1 degrees celsius for every 500 feet you go up.
In the troposphere and mesosphere what happens to temperature as altitude increases?
In the troposphere, temperature typically decreases with increasing altitude due to the adiabatic cooling effect. In the mesosphere, temperature increases with altitude due to absorption of solar radiation by ozone molecules.
How do the 4 main layers of the atmosphere vary?
The four main layers of the atmosphere are the troposphere, stratosphere, mesosphere, and thermosphere. They vary in temperature, composition, and altitude. The troposphere is where weather occurs and temperature decreases with altitude. The stratosphere has the ozone layer and temperature increases with altitude. The mesosphere is where meteors burn up and temperature decreases with altitude. The thermosphere is where the auroras occur and temperature increases with altitude due to absorption of solar radiation.
