Pikes Peak near Denver, Colorado, has an elevation of \(14,110 \mathrm{ft}\).

(a) Determine the pressure at this elevation, based on Eq. 2.12.

(b) If the air is assumed to have a constant specific weight of \(0.07647 \mathrm{lb} / \mathrm{ft}^{3}\), what would the pressure be at this altitude?

(c) If the air is assumed to have a constant temperature of \(59^{\circ} \mathrm{F}\), what would the pressure be at this elevation? For all three cases assume standard atmospheric conditions at sea level (see Table 2.1).

Table 2.1

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Properties of U.S. Standard Atmosphere at Sea Level* Property SI Units Temperature, T 288.15 K (15 C) Pressure, p 101.33 kPa (abs) Density, p 1.225 kg/m Specific weight, y 12.014 N/m 1.789 x 10 N s/m Viscosity, p *Acceleration of gravity at sea level 9.807 m/s = 32.174 ft/s. BG Units 518.67 R (59.00 F) 2116.2 lb/ft (abs) [14.696 lb/in. (abs)] 0.002377 slugs/ft 0.07647 lb/ft 3.737 x 10 lbs/ft