As measured by NASA's Viking landers, theatmosphere of Mars, where g = 3.71 m/s2, isalmost entirely carbon dioxide, and the surfacepressure averages 700 Pa. The temperature is coldand drops off exponentially: T≈ TO e-Cz, where C1.3 \times 10-5 m-1 and TO≈ 250 K. Forexample, at 20, 000 m altitude, T≈ 193 K. (a) Findan analytic formula for the variation of pressurewith altitude. (b) Find the altitude where pressureon Mars has dropped to 1 Pascal.

(a) Calculate the analytic formula for the variation of pressure with altitude…

Answered: As measured by NASA's Viking la…

As measured by NASA's Viking la atmosphere of Mars, where g almost entirely carbon dioxide, a pressure averages 700 Pa. The t and drops off exponentially: T ≈

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

To good approximation, the thermal conductivity k of a gasdepends only on the density ρ ,mean free path l , gas constant R , and absolute temperatureT . For air at 20 8 C and 1 atm, k ≈0.026 W/(m.K) and l ≈6.5 E-8 m. Use this information to determine k for hydrogenat 20 ° C and 1 atm if l ≈ 1.2 E-7 m.
An experiment is conducted on the surface of the planet Mars. Assume an isothermal atmosphere, where temperature To 348 K, RMars 189m-/s.K, and the acceleration due to gravity is 3.5 m/s. Estimate the altitude on Mars (in meters) where the pressure has dropped to 20 percent of its surface value.
A sample of powdered zinc oxide, density 5.60g/cm 3 , is allowed to settle under the accelerationof gravity, 981 cm/sec 2 , at 25 25°C. The rate ofsettling, v, is 7.30 ×10 3 cm/sec; the density ofthe medium is 1.01 g/cm 3 , and its viscosity is 1centipoise = 0.01 poise or 0.01 g/cm sec.Calculate the Stokes diameter of the zinc oxidepowder.Problem:
Convection heat transfer data are often reported as a heattransfer coefficient h , defined byQ= hA ∆Twhere Q= heat flow, J/sA = surface area, m 2∆ T = temperature difference, KThe dimensionless form of h , called the Stanton number, isa combination of h , fluid density ρ , specific heat c p , andfl ow velocity V . Derive the Stanton number if it is proportionalto h . What are the units of h ?
In English Engineering units, the specifi c heat c p of air atroom temperature is approximately 0.24 Btu/(lbm-° F).When working with kinetic energy relations, it is more appropriateto express c p as a velocity-squared per absolutedegree. Give the numerical value, in this form, of c p for airin ( a ) SI units, and ( b ) BG units.
The data listed below is from a passenger hot air balloon. The balloon is designed to lift 10-people (80 kg each person). The balloon consists of a basket, a burner- propane tank system. It will lift up when the cold air trapped inside warms up by the burner. Density of air inside the balloon is 99°C: 0.9486 kg/m³, density of air outside balloon is 20°C (ambient): 1.2041 kg/m³ Mass (kg) Balloon Basket Burner Propane tank 113.4 kg 63.5 kg 22.7 kg 183.7 kg Assume the balloon is a sphere shape, volume =(4/3)pi R3. a. Determine the minimum diameter of the balloon that would have a total lifting force to balance the weight of balloon, basket, burner, propane tank and 10 people? b. If the balloon is converted to survey the weather, it will be filled with hydrogen gas (H2). Assume the weight of the people (800kg) is now replaced by onboard equipment, what is minimum diameter needed to keep it afloat at 18km above the surface of the earth?
An intrepid treasure-salvage group has discovered a steelbox, containing gold doubloons and other valuables, restingin 80 ft of seawater. They estimate the weight of thebox and treasure (in air) at 7000 lbf. Their plan is to attachthe box to a sturdy balloon, infl ated with air to 3 atm pressure.The empty balloon weighs 250 lbf. The box is 2 ftwide, 5 ft long, and 18 in high. What is the proper diameterof the balloon to ensure an upward lift force on the box thatis 20 percent more than required?
14 cim 4 çın 30 cm The force and dimension where the weight of the tissue and bones of the hand and arm (H) at their center of gravity. From this example : find value of (M) when W=10ON ? Sol: Tow torques : 1. due to the weight W 2. due to muscle M
Carbon dioxide has a specifi c heat ratio of 1.30 and a gasconstant of 189 J/(kg ∙ ° C). If its temperature rises from20 to 45 ° C, what is its internal energy rise?( a ) 12.6 kJ/kg, ( b ) 15.8 kJ/kg, ( c ) 17.6 kJ/kg, ( d ) 20.5 kJ/kg,( e ) 25.1 kJ/kg
A tremendous force is generated when waterfreezes into ice and expands in volume by 9.0%. Suppose a 1.000-m3cube of liquid water freezes into ice that is 1.000 m on a side by1.090 m tall. How many 68-kg students would the ice be able tolift? Determine this by calculating the amount of force on the top1.000-m2face that would be required to squeeze 1.090 m3of iceback to 1.000 m3, assuming all of the volume change occurs alongthe vertical direction
(b) An experimental balloon filled with helium is equipped with meteorological instruments is released to the atmosphere from sea level. Measurement data was analysed to derive the linear temperature lapse rate up to high altitudes above sea level. The lapse rate was found to be equal to 0.0065 K/m. Estimate the altitude of the balloon above sea level when the atmospheric pressure is equal to 60 kPa. Atmospheric temperature and pressure at sea level may be assumed to be equal to 15°C and 101 kPa. Characteristic gas constant is 287J/kgK.
For most gases at standard or near standard conditions, the relationshipamong pressure, density, and temperature is given by the perfect gasequation of state: p = ρRT, where R is the specific gas constant. For airat near standard conditions, R = 287 J/(kg · K) in the International System of Units and R = 1716 ft · lb/(slug · ◦R) in the English Engineering System of Units. Using the above information, consider the following two cases: a. At a given point on the wing of a Boeing 727, the pressure andtemperature of the air are 1.9 × 104 N/m2 and 203 K, respectively.Calculate the density at this point.b. At a point in the test section of a supersonic wind tunnel, the pressureand density of the air are 1058 lb/ft2 and 1.23 × 10−3 slug/ft3,respectively. Calculate the temperature at this point.