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The maximum power output capability of an engine decreases with altitude because the air density and hence the mass flow rate of air decreases. A truck leaves Denver (elevation 1620 m) on a day when the local temperature and absolute pressure are 20 C and 84 kPa, respectively. It travels through Vail Pass (elevation 3260 m), where the temperature is also 20 C. Assuming that the temperature is constant with altitude, determine the absolute pressure and density at Vail Pass. Assuming that the maximum power output is proportional to density, how much less maximum power (in percent) does the truck have compared to Denver?
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