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40. The atmospheric pressure (force per unit area) on a surface at an altitude z is due to the we...
6. Assuming that air in the troposphere behaves like a perfect gas and that as the altitude varies, the thermodynamic p...
6. Assuming that air in the troposphere behaves like a perfect gas and that as the altitude varies, the thermodynamic properties are related by an isentropic process" , derive the following relationships using the differential equation governing hydrostatic pressure in a fluid. a) Pressure variation with altitude k/(k-1) (k-1) g kRT。 b) Density variation with altitude 1/(k-1) k RT. c) Temperature variation with altitude (k-1) g T To Note: T.-T(z)2 = 0
6. Assuming that air in the troposphere behaves...
3) Consider the hot air balloon problem described in Lecture 1, pp. 22-24. That problem assumed...
3) Consider the hot air balloon problem described in Lecture 1, pp. 22-24. That problem assumed an outside air temperature of T- 300 K (27°C or 80.6°F), arn atmospheric pressure of 1.013 x 10 Pa (at sea level), and a spherical balloon shape. We would like to perform the same calculation but assuming atmospheric pressure in Albuquerque, NM, where the altitude is 1620 m wikipedia.org/wiki/Albuquerque_International_Balloon Fiesta) (a) First, we need to estimate the ambient pressure at an altitude of 1620...
The atmospheric pressure varies proportionally from sea level to height, and the air temperature ...
The atmospheric pressure varies proportionally from sea level to height, and the air temperature drops by 6K for every T km increase (a) Draw a cylindrical volume that is height inside the atmosphere, and then calculate the pressure change and expression (dP/dy-pg) depending on the height. (b) obtain the temperature change of the atmosphere accordingto the height y(km) in the place where the sea level (y-0) is at ToK temperature. (c) obtain a barometric equation which allows for the change...
DE the score for the find (25 pts) We have a tank of volume V which contains an ideal gas at constant temperature T and initial pressure Po. There is a small hole in the tank and gas leaks...
DE the score for the find (25 pts) We have a tank of volume V which contains an ideal gas at constant temperature T and initial pressure Po. There is a small hole in the tank and gas leaks out at a velocity of (RT)05. We can use a molar density of p T ocity and molar rate out - puA where u - vel Recall that mols in tank- pV and A = area of hole. Derive the differential...
(25 pts) We have a tank of volume V which contains an ideal gas at constant temperature T and initial pressure Po. There is a small hole in the tank and gas leaks out at a velocity of (RT)5, We c...
(25 pts) We have a tank of volume V which contains an ideal gas at constant temperature T and initial pressure Po. There is a small hole in the tank and gas leaks out at a velocity of (RT)5, We can use a molar density 1. Recall that mols in tanke ρν and molar rate out-pud where u-velocity and A - area of hole. Derive the differential equation for P vs t (hint it's a simple exponential) a. drop in...
I need help with exercise #2. Your help will be really appreciated and rated. MAXWELL'S EQUATION...
I need help with exercise #2. Your help will be really
appreciated and rated.
MAXWELL'S EQUATION I. Maxwell's Equation: Our first (of mony) distribution functions. Very important A. The "Maxwell-Boltzman speed distribution" gives the speed distribution, fiv), of particles confined to NN()d, which a volume, V, and in thermal equilibrium at a temperature, T. () is the number of particles moving within dv of a speed, v Distributions of this type can be considered as the product of three terms...
02) Consider a hydrostatic system represented by the thermodynamic variables volume V, pressure P and temperature...
02) Consider a hydrostatic system represented by the thermodynamic variables volume V, pressure P and temperature T. a) Consider entropy S = S(T, V) and derive the equation TdS. Tas = Cvat +T (1) dV. V Show that this equation can be written as follows BT TdS = CydT + PDV where Cv is the thermal capacity at constant volume, B is the isobaric expansiveness and K is isothermal compressibility: b) Consider a gas described by the equation of state...
31 and 33 Draw a diagram for each of processes (isothermal, isobaric, isochoric) in variables (P,...
31 and 33
Draw a diagram for each of processes (isothermal, isobaric, isochoric) in variables (P, V), (P, T) and (V, T). Express density of an ideal gas using the equation of state: PV = n/M RT. Explain every step. One mode of oxygen gas is at a pressure of 6.00 and a temperature of 27.0 degree C. If the gas is heated at constant volume until the pressure triples, what is the final temperature? If the gas is heated...
1. For an atmosphere in hydrostatic equilibrium the variation of particle number density (# of pa...
1. For an atmosphere in hydrostatic equilibrium the variation of particle number density (# of particles per unit volume) of each species as a function of altitude (z) is found by equating gravitational and pressure forces. The resulting expression is: N(z) = No * e^(-(z - zo)/H) where N0 is a constant for each species, and z0 is an arbitrary reference altitude. The parameter H is called the scale height, which is equal to KT/mg. In the scale height expression...
The ideal gas law, discovered experimentally, is an equation of state that relates the observable state variables of the gas. pressure, temperature, and density
The ideal gas law, discovered experimentally, is an equation of state that relates the observable state variables of the gas. pressure, temperature, and density (or quantity per volume$$ \eta V=N k_{\mathrm{B}} T(\mathrm{or} p V=n \mathrm{RT}) $$Where \(N\) is the number of atoms, \(n\) is the number of moles, and \(R\) and \(k_{\mathrm{B}}\) are ideal gas constants such that \(R=N_{\mathrm{A}} k_{\mathrm{B}}\), where \(N_{A}\) is Avogadro's number. In this problem. you should use Boltzmann's constant instead of the gas constant \(R\).Remaıkably. the...
6. Assuming that air in the troposphere behaves like a perfect gas and that as the altitude varies, the thermodynamic properties are related by an isentropic process" , derive the following relationships using the differential equation governing hydrostatic pressure in a fluid. a) Pressure variation with altitude k/(k-1) (k-1) g kRT。 b) Density variation with altitude 1/(k-1) k RT. c) Temperature variation with altitude (k-1) g T To Note: T.-T(z)2 = 0
6. Assuming that air in the troposphere behaves...
3) Consider the hot air balloon problem described in Lecture 1, pp. 22-24. That problem assumed an outside air temperature of T- 300 K (27°C or 80.6°F), arn atmospheric pressure of 1.013 x 10 Pa (at sea level), and a spherical balloon shape. We would like to perform the same calculation but assuming atmospheric pressure in Albuquerque, NM, where the altitude is 1620 m wikipedia.org/wiki/Albuquerque_International_Balloon Fiesta) (a) First, we need to estimate the ambient pressure at an altitude of 1620...
The atmospheric pressure varies proportionally from sea level to height, and the air temperature drops by 6K for every T km increase (a) Draw a cylindrical volume that is height inside the atmosphere, and then calculate the pressure change and expression (dP/dy-pg) depending on the height. (b) obtain the temperature change of the atmosphere accordingto the height y(km) in the place where the sea level (y-0) is at ToK temperature. (c) obtain a barometric equation which allows for the change...
DE the score for the find (25 pts) We have a tank of volume V which contains an ideal gas at constant temperature T and initial pressure Po. There is a small hole in the tank and gas leaks out at a velocity of (RT)05. We can use a molar density of p T ocity and molar rate out - puA where u - vel Recall that mols in tank- pV and A = area of hole. Derive the differential...
(25 pts) We have a tank of volume V which contains an ideal gas at constant temperature T and initial pressure Po. There is a small hole in the tank and gas leaks out at a velocity of (RT)5, We can use a molar density 1. Recall that mols in tanke ρν and molar rate out-pud where u-velocity and A - area of hole. Derive the differential equation for P vs t (hint it's a simple exponential) a. drop in...
I need help with exercise #2. Your help will be really
appreciated and rated.
MAXWELL'S EQUATION I. Maxwell's Equation: Our first (of mony) distribution functions. Very important A. The "Maxwell-Boltzman speed distribution" gives the speed distribution, fiv), of particles confined to NN()d, which a volume, V, and in thermal equilibrium at a temperature, T. () is the number of particles moving within dv of a speed, v Distributions of this type can be considered as the product of three terms...
02) Consider a hydrostatic system represented by the thermodynamic variables volume V, pressure P and temperature T. a) Consider entropy S = S(T, V) and derive the equation TdS. Tas = Cvat +T (1) dV. V Show that this equation can be written as follows BT TdS = CydT + PDV where Cv is the thermal capacity at constant volume, B is the isobaric expansiveness and K is isothermal compressibility: b) Consider a gas described by the equation of state...
31 and 33
Draw a diagram for each of processes (isothermal, isobaric, isochoric) in variables (P, V), (P, T) and (V, T). Express density of an ideal gas using the equation of state: PV = n/M RT. Explain every step. One mode of oxygen gas is at a pressure of 6.00 and a temperature of 27.0 degree C. If the gas is heated at constant volume until the pressure triples, what is the final temperature? If the gas is heated...
The ideal gas law, discovered experimentally, is an equation of state that relates the observable state variables of the gas. pressure, temperature, and density (or quantity per volume$$ \eta V=N k_{\mathrm{B}} T(\mathrm{or} p V=n \mathrm{RT}) $$Where \(N\) is the number of atoms, \(n\) is the number of moles, and \(R\) and \(k_{\mathrm{B}}\) are ideal gas constants such that \(R=N_{\mathrm{A}} k_{\mathrm{B}}\), where \(N_{A}\) is Avogadro's number. In this problem. you should use Boltzmann's constant instead of the gas constant \(R\).Remaıkably. the...
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