# Mountain Top On A Faraway Planet

Consider a planet with an atmosphere of ideal gas at constant temperature. The following is known:

• Pressure at the surface: $$P_0 = 100\ \text{kPa};$$
• Pressure gradient at the surface: $$-dP/dy|_0 = 12\ \text{Pa/m};$$
• Height of highest mountain: $$y^\star = 9000\ \text{m}.$$

Determine the atmospheric pressure near the top of the highest mountain. Give your answer in kilopascals, rounded to the nearest integer.

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