Solve the problem with Laplace L Sinst. Cos at

Show that if the atmosphere is isothermal, the temperature change of a parcel of air rising adiabatically is ogui ns².eas me T(z) = Toe-z/To o weldvin Drai M. of resoulonial (8821) 9.2,00A A even T where To and To are the temperatures of the parcel at the surface and of the air at the surface, respectively.

16.1 The Fourier field equation in cylindrical coordinates is ᎧᎢ ²T 10T 12T = α Ət a + + - მr2 r ər r² 80² ²T Əz² a. What form does this equation reduce to for the case of steady-state, radial heat transfer? b. Given the boundary conditions T = T₁ at r = ri T = T。 at r = ro

Prove