Question

Type the correct answer in the box. Express your answer to three significant figures. An empty water bottle is full of air at 15°C and standard pressure. The volume of the bottle is 0.500 liter. How many moles of air are in the bottle? The water bottle contains mole of air.

Answer 1

Pressure of air present in the water bottle = 1.00 atm (Standard pressure)

Volume of air = 0.500 L (as air occupies the volume of bottle)

Temperature = $15^{0}C +273 = 288 K$

Ideal gas equation can be used to calculate the moles of air present in the volume.

$PV = nRT$

P = 1.00 atm

V = 0.500 L

T = 288 K

R = Universal gas constant = $0.08206 L.atm/(mol.K)$

Finding out n, number of moles:

$n = \frac{PV}{RT}$

         = $\frac{(1.00atm)(0.500L}{(0.08206L.atm/(mol.K))(288K)}$

         =0.0212 mol air

Therefore, the moles of air in the bottle is 0.0212 mol