Using the hydrostatic law dpdz -rhog and the ideal gas law
Using the hydrostatic law dp/dz = -(rho)g and the ideal gas law p = (rho)RT, show that if the temperature of the atmosphere varies with height as T(z) = T_o - Bz, then the atmospheric pressure varies with height as p(z) = p_o(1-(Bz/T_o))^(g/(BR))
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