As a Boeing 747 gains altitude, the passenger cabin is pressurized. However, the cabin is not pressurized fully to atmospheric (1.01 × 105 Pa), as it would be at sea level, but rather pressurized to 7.62 × 104 Pa. Suppose a 747 takes off from sea level when the temperature in the airplane is 25.0 °C and the pressure is 1.01 × 105 Pa.
(a) If the cabin temperature remains at 25.0 °C, what is the percentage change in the number of moles of air in the cabin?
(b) If instead, the number of moles of air in the cabin does not change, what would the temperature be?