B. 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? (6 points)

Respuesta :

The number of moles of gas that was in the water bottle is 0.015 moles

Ideal gas equation

  • The ideal gas equation gives the relationship between gas volume, pressure, temperature and number of moles
  • The ideal gas equation is given as: PV =nRT

where p = gas pressure

v = volume of gas

n = number of moles of gas

R = molar gas constant

T = temperature

making n subject of the formula

  • n = PV/RT

from the data provided, assuming the gas filled up the water bottle:

  • 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

Therefore, the number of moles of gas that was in the water bottle is 0.015 moles

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