Question

To what pressure must a gas be compressed in order to get into a 3.00 cubic foot

tank the entire weight of a gas that occupies 400.0 cu. ft. at standard pressure?

Answer 1

133.3atm

Step-by-step explanation:

Given parameters:

Initial volume = 400ft³

Final volume = 3ft³

Initial pressure = 1atm

Unknown:

Final pressure = ?

Solution:

To solve this problem, we apply Boyle's law which states that "the volume of a fixed mass of a gas varies inversely as the pressure changes if the temperature is constant".

Mathematically;

P₁V₁ = P₂V₂

P and V are pressure and volume

1 and 2 are initial and final states;

Insert parameters and solve;

1 x 400 = P₂ x 3

P₂ = 133.3atm