Answer to Question #349539 in General Chemistry for Aml

Question

Atmospheric pressure on the peak of Kilimanjaro can be as low as

0.20 atm. If the volume of an oxygen tank is 10.0L, at what

pressure must the tank be filled so the gas inside would occupy a

volume of 1.2 x 103L at this pressure?

Answer 1

Given:

P₁ = 0.20 atm

V₁ = 1.2×10³ L

T₁ = T₂ = constant

P₂ = unknown

V₂ = 10.0 L

Formula: P₁V₁ = P₂V₂

Solution:

Since the temperature and amount of gas remain unchanged, Boyle's law can be used.

Boyle's gas law can be expressed as: P₁V₁ = P₂V₂

To find the pressure, solve the equation for P₂:

P₂ = P₁V₁ / V₂

P₂ = (0.20 atm × 1.2×10³ L) / (10.0 L) = 24 atm

P₂ = 24 atm

Answer: The tank must be filled at a pressure of 24 atm