Answer to Question #349308 in General Chemistry for JADE

Question

Atmospheric pressure on the peak of the highest mountain can

be as low as 150 Torr, which is why climbers need to bring

oxygen tanks for the last part of the climb. If the climbers carry

8.0 liter tanks with an internal gas pressure of 3040 Torr, what

will be the volume of the gas when it is released from the

tanks?

Answer 1

Given:

P₁ = 3040 torr

V₁ = 8.0 L

T₁ = T₂ = constant

P₂ = 150 torr

V₂ = unknown

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 volume, solve the equation for V₂:

V₂ = P₁V₁ / P₂

V₂ = (3040 torr × 8.0 L) / (150 torr) = 162 L

V₂ = 162 L

Answer: The volume of the gas will be 162 liters