Please derive an equation for the pressure as a function of height in a hydrostatic atmosphere....
Please derive an equation for the pressure as a function of height in a hydrostatic atmosphere. Assume that the atmosphere has a linear temperature lapse rate of Γ. (b) If the atmospheric lapse rate is 6 K/km, the surface pressure is 1000 hPa, and the surface temperature is 280K what is the pressure at 5 km? Assume the air is dry. (c) How does this pressure compare to that computed for an isothermal atmosphere? To do this calculation requires choosing a temperature. The most logical temperature to use would be the average atmospheric temperature, which you will need to calculate. In computing the average temperature, assume the lapse rate and surface temperature given in (b) and calculate the average from the surface to 10 km height.
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Please derive an equation for the pressure as a function of
height in a hydrostatic atmosphere....
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...
Can you help me, please? 2-List the four most abundant gases in today`s atmosphere, 3-of the...
Can you help me, please? 2-List the four most abundant gases in today`s atmosphere, 3-of the four most abundant gases in our atmosphere, Which one shows the greatest variation at the earth`s surface? 6- List the two most abundant greenhouse gases in the earth`s atmostphere , What makes them greenhouse gases? 10- a) explain the concept of air pressure in terms of mass of air above some level . B) Why does air pressure alwasy decrease with increasing height...
(5) [total: 15%) The average scale height of the atmosphere (H) is ~7 km. a) [590]...
(5) [total: 15%) The average scale height of the atmosphere (H) is ~7 km. a) [590] What does the average scale height tell us about the mean temperature of the atmosphere? In other words, what is the mean temperature when H- 7 km? b) [596] In actuality, the atmosphere varies in temperature. For instance, at Manaus, in the middle of the Brazilian Amazon near the equator, a typical mean atmospheric temperature is 4°C. At Churchill, in northern Manitoba (Canada), it...
1. For the earth, an estimate of the variation of pressure with altitude above the surface of the earth is made for a gas of molecular weight, M, assuming the atmosphere is isothermal, the variation...
1. For the earth, an estimate of the variation of pressure with altitude above the surface of the earth is made for a gas of molecular weight, M, assuming the atmosphere is isothermal, the variation of g with altitude is negligible, and that the atmosphere behaves like an ideal gas. A significant error in this estimate arises from the assumption that the temperature of the atmosphere, T, is isothermal instead of decreasing with altitude. This decrease with altitude y in...
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...
Question 6 (5 Marks) The atmosphere from sea level to 11 km height is a constant...
Question 6 (5 Marks) The atmosphere from sea level to 11 km height is a constant lapse rate layer. Assuming a lapse rate of 0.0065°K/m. Calculate the temperature and pressure at a height of 7000 m, given sea level conditions of po=101325 N/m2 and To=15°C. Question 7 (5 Marks) A smooth plastic, 10-m-long garden hose with an inside diameter of 20 mm is used to drain a wading pool as is shown in Figure Q7. Calculate the flowrate from the...
1. A particle is moving along a (horizontal) x-axis. Its position as a function of time...
1. A particle is moving along a (horizontal) x-axis. Its position as a function of time is given by the equationAt2 B where A-2.10 and B-2.80 and t is in seconds. (i) What are the proper units for A and B in SI units (show your work) (ii) Determine the displacement of the particle during the time interval from -3.00 s to 12 5.00 s. iii) Determine the average velocity (think secant line!) during this time interval (iv) Determine the...
Please Answer number 3 - 9 tue 4000 3S 20 TEmS 2. Calculate the average rate of temperature change for the environmental lapse rate. Express this rate of change per 1000 meters. Show your calculatio...
Please Answer number 3 - 9
tue 4000 3S 20 TEmS 2. Calculate the average rate of temperature change for the environmental lapse rate. Express this rate of change per 1000 meters. Show your calculations. 18.6 C 26-189 4386°C 18°- 99 S 000m S o00 13 3. At sea level, a parcel of air has a temperature of 35 "C and a dew point temperature of 15 "C. Let's assume that this air is forced to rise. Plot the rising...
answer asap please A sealed balloon is filled with air at atmospheric pressure (P = 1.01...
answer asap please
A sealed balloon is filled with air at atmospheric pressure (P = 1.01 X 105 Pa) at 30°C (typical conditions for the surface of the Earth in St. Thomas). You take the (sealed) balloon with you on top of Mountain Top, which has an elevation of about 450m, where the average air pressure is 9.6 x 109 Pa. The temperature at the top is 26°C, a bit cooler. 2.5 pts. - a) How big is the balloon...
Membrane Separation II Reverse Osmosis (a) Derive van't Hoff's equation (osmotic pressure π-CRT). (b) A feed solution containing 5g NaCl/L (ρ-1001kg/m3) is purified using a reverse osmosis sy...
Membrane Separation II Reverse Osmosis (a) Derive van't Hoff's equation (osmotic pressure π-CRT). (b) A feed solution containing 5g NaCl/L (ρ-1001kg/m3) is purified using a reverse osmosis system. Water permeability constant (Aw) and a solute (NaCI) permeability constant (As) are 5 x 10 kg/m2s atm, and 4 x 10-7m/s, respectively. AP 30 atm. Assume that the fraction recovered of the solvent water is 0.15. The flow rate q2 of the permeate water solution is 50 L/min. Calculate ci and c2...
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...
(5) [total: 15%) The average scale height of the atmosphere (H) is ~7 km. a) [590] What does the average scale height tell us about the mean temperature of the atmosphere? In other words, what is the mean temperature when H- 7 km? b) [596] In actuality, the atmosphere varies in temperature. For instance, at Manaus, in the middle of the Brazilian Amazon near the equator, a typical mean atmospheric temperature is 4°C. At Churchill, in northern Manitoba (Canada), it...
1. For the earth, an estimate of the variation of pressure with altitude above the surface of the earth is made for a gas of molecular weight, M, assuming the atmosphere is isothermal, the variation of g with altitude is negligible, and that the atmosphere behaves like an ideal gas. A significant error in this estimate arises from the assumption that the temperature of the atmosphere, T, is isothermal instead of decreasing with altitude. This decrease with altitude y in...
Question 6 (5 Marks) The atmosphere from sea level to 11 km height is a constant lapse rate layer. Assuming a lapse rate of 0.0065°K/m. Calculate the temperature and pressure at a height of 7000 m, given sea level conditions of po=101325 N/m2 and To=15°C. Question 7 (5 Marks) A smooth plastic, 10-m-long garden hose with an inside diameter of 20 mm is used to drain a wading pool as is shown in Figure Q7. Calculate the flowrate from the...
1. A particle is moving along a (horizontal) x-axis. Its position as a function of time is given by the equationAt2 B where A-2.10 and B-2.80 and t is in seconds. (i) What are the proper units for A and B in SI units (show your work) (ii) Determine the displacement of the particle during the time interval from -3.00 s to 12 5.00 s. iii) Determine the average velocity (think secant line!) during this time interval (iv) Determine the...
Please Answer number 3 - 9
tue 4000 3S 20 TEmS 2. Calculate the average rate of temperature change for the environmental lapse rate. Express this rate of change per 1000 meters. Show your calculations. 18.6 C 26-189 4386°C 18°- 99 S 000m S o00 13 3. At sea level, a parcel of air has a temperature of 35 "C and a dew point temperature of 15 "C. Let's assume that this air is forced to rise. Plot the rising...
answer asap please
A sealed balloon is filled with air at atmospheric pressure (P = 1.01 X 105 Pa) at 30°C (typical conditions for the surface of the Earth in St. Thomas). You take the (sealed) balloon with you on top of Mountain Top, which has an elevation of about 450m, where the average air pressure is 9.6 x 109 Pa. The temperature at the top is 26°C, a bit cooler. 2.5 pts. - a) How big is the balloon...
Membrane Separation II Reverse Osmosis (a) Derive van't Hoff's equation (osmotic pressure π-CRT). (b) A feed solution containing 5g NaCl/L (ρ-1001kg/m3) is purified using a reverse osmosis system. Water permeability constant (Aw) and a solute (NaCI) permeability constant (As) are 5 x 10 kg/m2s atm, and 4 x 10-7m/s, respectively. AP 30 atm. Assume that the fraction recovered of the solvent water is 0.15. The flow rate q2 of the permeate water solution is 50 L/min. Calculate ci and c2...
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