Using the ideal gas equation and Gay Lussac's law, the volume of the passenger's collapsed bottle after landing is 0.0075 L.
The ideal gas equation shows the relationship between temperature, pressure, volume and number of moles.
The volume of the passenger's collapsed bottle after landing is 0.0075 L.
Given that;
PV = nRT
n = PV/RT
Hence:
P = 0.75 atm;
V = 0.5 L;
T = 295 K;
R = 0.082 atmL/K.mol
n = 0.75 * 0.5 / 0.082 * 295
n = 0.015 moles
If the pressure after landing was 1.0 atm;
V1n1 = V2n2
V2= V1n1/n2
V2 = 0.5 L * 0.015 moles/ 1 mole
V2 = 0.0075 L
The volume of the passenger's collapsed bottle after landing is 0.0075 L.
Missing parts;
A passenger on an airplane finished a 0.5 L bottle of water during the flight
and replaced the lid. The cabin pressure and temperature were maintained at
0.75 atm and 295 K during the flight. After landing, he noticed his empty water
bottle had collapsed. (12 points)
i. How many moles of gas were in the water bottle?
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