Using the ideal gas equation and Gay Lussac's law, the volume of the passenger's collapsed bottle after landing is 0.0075 L.
<h3>What is ideal gas equation?</h3>
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
- P = gas pressure
- V = volume of gas
- n = number of moles of gas
- R = molar gas constant
- T = temperature
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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