At the beach, atmospheric pressure is 1025 mbar. You dive
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- Consider a column of a planet's atmosphere. The planet's atmosphere is a compressible ideal gas at rest that obeys the polytropic relation Po %3D 3/2 Po 3/2 where pis pressure and pis density. Here, p, and P, are the values of pressure and density, respectively, at the planet's surface. Take z (altitude) to be positive upward with z=0 at the surface, take R to be the gas constant for the planet's atmosphere, and take g to be the downward acceleration due to gravity. a) Starting from hydrostatic balance and the polytropic relation above, derive an expression for the pressure field, p(z), in terms of the given parameters. Leave all parameters except the polytropic index as algebraic. b) Derive an expression for the density field, p(z), in terms of the given parameters. Leave all parameters except the polytropic index as algebraic. c) Derive an expression for the temperature field, T(z), in terms of the given parameters. Leave all parameters except the polytropic index as algebraic.arrow_forwardAs shown in the figure below, a piston-cylinder assembly contains 1 kg of water at T1=200° C and P1 = 1.5 bar holding the piston against the stops. The atmospheric pressure is 1 bar, and you can assume the piston's weight is negligible. The water is slowly cooled until the piston just begins to move downward in the cylinder. What is the pressure (P2), temperature (T2), and volume (V2) of water at this point? (°C), V2 = P2 = (m³) The cooling continues until water has entirely turned into saturated liquid. What is the pressure(P3) and temperature (T3), and volume (V3) of water at this point? (°C), V3 = P3 = (bar), T2 = (bar), T3 = Qtotal Calculate the total work done on the moving boundary of this system during the two processes. W total (kJ) Calculate the total heat transfer during the two processes. (kJ) On paper draw the P-v diagram for water going through the above processes. Show your detailed work on paper. hint: you must also find v1, u1, and u3. Patm = 1 bar Piston (m³) Stopsarrow_forwardNote: Substitute your corresponding assigned number to the blank The number is 22arrow_forward
- In the system illustrated below, manometer A reports a vacuum (negative pressure) of 0.30 kgf/cm2 and manometer B reports a pressure of 7.4 psi.Find the value of the difference in level h in cmarrow_forwardA closed tank (of height 5 m) is partially filled with a liquid as shown. If the pressure of the air above the fluid is 2 bar, find the pressure at the bottom of the tank. Assume the density of the liquid to vary according to the following relation: p = 900 + 2 kg/m³ where y is the height from the base P= 2 bar 5 m 2 m Liquid Select one: O 2 12 O 2.15 O 2.18 O 2.5 A beaker half-filled with water is exposed to the atmosphere. If the pressure at points A, B and C as shown are Pa, Pb and Pc respectively, which one of the following will be the relation connecting the three? A. Pat A>Pat B=P at C B. Pat A>Pat B>P at C C.Pat Aarrow_forwardAn easy experiment to estimate the density of a body is to weigh it in air and water. Consider a body of unknown density and volume. You weighed it in air, finding a value of 100 N. Then, using a special scale imported from the United States, you weighed the object submerged in water, finding a value of 5.6 lbf. Based on these results, find the density and volume of the object. Remember that the scale measures the result of the balance of forces on the body (or the sum of the forces). Show this balance of forces (or force diagram) on the body during your solving. Express the result in units of the International System and the American System of Engineering, and show any unit conversion calculations using the conversion factor. Consider the densities of water and air equal to 1000 kg/m3 and 1.18 kg/m3, respectively.arrow_forwardA manometer containing two oils is used to assess the pressure of air in a storage tank. Given the configuration of the oils in the picture, calculate the pressure in the tank. The density of air is negligible to the density of the oils (?oil1 = 1000 ??/m3; ?oil2 = 400 ??/m3 ). The height of oil 1 is 1 ?, and the height of oil 2 is 0.8 ?. The atmospheric pressure is 98 ???. The manometer is ipen to the atmosphere.arrow_forwardA barometer reads 80 cm Hg and a pressure gage attached to a tank reads 40 cm of Hg. Determine the absolute pressure in the tank.arrow_forwardConsider the manometer in Fig. If the specific weight of fluid B is 20 kN/m3 , what is the absolute pressure, in kPa, indicated by the manometer when the local atmospheric pressure is 720 mmHg?arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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