If atmospheric pressure at the ground is (101.3 mathrm{kPa}) and temperature is (15^{circ} mathrm{C}), calculate the pressure

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If atmospheric pressure at the ground is \(101.3 \mathrm{kPa}\) and temperature is \(15^{\circ} \mathrm{C}\), calculate the pressure \(7.62 \mathrm{~km}\) above the ground, assuming

(a) no density variation,

(b) isothermal variation of density with pressure, and

(c) adiabatic variation of density with pressure.

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