Q1.17 Please show me how to solve problem... ty!Calculate the 1000 to 500 hPa thickness for a constant lapse rate atmosphere with y=6.5 K km^(-1) and T_o= 273 K. 1.14. Show that a homogeneousbundary.ture To = 273 K and surface pressure 1000 hPa. (Use the idealhydrostatic balance.)1.15. For the conditions of the previous problem, compute the variation of utemperature with respect to height.1.16. Show that in an atmosphere with uniform lapse rate (where y =-the geopotential height at pressure level pi is given bya finite height that depends only on the temperature atgas law and-dT /dz)-Ry/gPoToZ = -where To and po are the sea-level temperature and pressure, respectively.1.17. Calculate the 1000 to 500 hPa thickness for a constant lapse rate atmo-sphere with y = 6.5 K km- and Tothe results in Problem 1.12.273 K. Compare your results with%3D1.18. Derive an expression for the variation in density with respect to height in aconstant lapse rate atmosphere.1.19. Derive an expression for the altitude variation in the pressure change &pthat occurs when an atmosphere with a constant lapse rate is subjectedto a height-independent temperature change 8T while the surface pressureremains constant. At what height is the magnitude of the pressure change amaximum if the lapse rate is 6.5 K km-', To = 300, and 8T= 2 K?MATLAB ExercisesM1.1. This exercise investigates the role of the curvature terms for high-latituconstant angular momentum trajectories.(a) Run the coriolis.m script with the following initial conditions: initlatitude 60°, initial velocity u = 0, v = 40 ms-, run time = 5 days. Cotheappearance of the trajectories for the case with the curvatupareterms included and the case with the curvature terms neglected. Quitatively explain the difference that you observe. Why is the trajectonot a closed circle as described in Eq. (1.15) of the text? [Hint: Consicthe separate effects of the term proportional to tan o and of the spheriegeometry.](b) Run coriolis.m with latitude 60°, u = 0, v = 80 m/s wfrom case (a)? By varying the run time sn

Question

Q1.17 Please show me how to solve problem... ty!Calculate  the 1000 to 500 hPa thickness  for a constant lapse rate atmosphere with y=6.5 K km^(-1) and T_o= 273 K. 1.14. Show that a homogeneousbundary.ture To = 273 K and surface pressure 1000 hPa. (Use the idealhydrostatic balance.)1.15. For the conditions of the previous problem, compute the variation of utemperature with respect to height.1.16. Show that in an atmosphere with uniform lapse rate (where y =-the geopotential height at pressure level pi is given bya finite height that depends only on the temperature atgas law and-dT /dz)-Ry/gPoToZ = -where To and po are the sea-level temperature and pressure, respectively.1.17. Calculate the 1000 to 500 hPa thickness for a constant lapse rate atmo-sphere with y = 6.5 K km- and Tothe results in Problem 1.12.273 K. Compare your results with%3D1.18. Derive an expression for the variation in density with respect to height in aconstant lapse rate atmosphere.1.19. Derive an expression for the altitude variation in the pressure change &pthat occurs when an atmosphere with a constant lapse rate is subjectedto a height-independent temperature change 8T while the surface pressureremains constant. At what height is the magnitude of the pressure change amaximum if the lapse rate is 6.5 K km-', To = 300, and 8T= 2 K?MATLAB ExercisesM1.1. This exercise investigates the role of the curvature terms for high-latituconstant angular momentum trajectories.(a) Run the coriolis.m script with the following initial conditions: initlatitude 60°, initial velocity u = 0, v = 40 ms-, run time = 5 days. Cotheappearance of the trajectories for the case with the curvatupareterms included and the case with the curvature terms neglected. Quitatively explain the difference that you observe. Why is the trajectonot a closed circle as described in Eq. (1.15) of the text? [Hint: Consicthe separate effects of the term proportional to tan o and of the spheriegeometry.](b) Run coriolis.m with latitude 60°, u = 0, v = 80 m/s wfrom case (a)? By varying the run time sn

Accepted Answer

Given 
Po = 1000 hpa , P1 = 500 hpa 
To = 273 K

temperature with respect to the geopotential height at pressure level pi is given by -Ry/g Po To =- Z = P1 Jouol tomnerature and pressure, respectively.