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?

133.3atm

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

1. 14  2. 124

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