Question

B. A passenger on an airplane finished a 0.5 L bottle of water during the flight

Answer 1

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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