College

If a small compressed cylinder of hydrogen gas with 1.55 cubic feet at 2200 pounds per square inch were released to the atmosphere at standard temperature and pressure (STP), how many cubic feet would the hydrogen occupy?

Answer :

Answer:

the hydrogen will occupy 232.035 ft³

Step-by-step explanation:

Given the data in the question;

Initial pressure P₁ = 2200 pounds per square inch

we convert to standard atmosphere

Initial pressure P₁ = ( 2200 / 14.696 )atm = 149.7 atm

Initial Volume V₁ = 1.55 ft³

We know that for gas,

P₁V₁ = P₂V₂

{ STP = 1 atm }

so we substitute

149.7 atm × 1.55 ft³ = 1 atm × V₂

232.035 atm.ft³ = 1 atm × V₂

V₂ = 232.035 atm.ft³ / 1 atm

V₂ = 232.035 ft³

Therefore, the hydrogen will occupy 232.035 ft³

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