Question

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?

Answer 1

Answer: 0.0211 moles of air are present inside the bottle

Explanation:

Volume of the bottle  = 0.500 L

Standard Pressure exerted by the air = 1 atm

Temperature of bottle in which air is present = 15 °C= 288 K(0 °C = 273 K)

Assuming air inside the bottle is behaving ideally:

PV=nRT

$1 atm\times 0.500 L=n\times 0.0820 L atm/mol K\times 288 K$

$n=\frac{1 atm\times 0.500 L}{0.0820 L atm/mol K\times 288 K}$

n = 0.0211 moles

0.0211 moles of air are present inside the bottle