Question

What pressure is required to compress 200 liters of air at 100 atmosphere into a

cylinder whose volume is 20.0 liters?

Answer 1

P₂ = 1000 atm

Step-by-step explanation:

Given data:

Initial volume of air = 200 L

Initial pressure = 100 atm

Final volume = 20.0 L

Final pressure required = ?

Solution:

The given problem will be solved through the Boly's law,

Mathematical expression:

P₁V₁ = P₂V₂

P₁ = Initial pressure

V₁ = initial volume

P₂ = final pressure

V₂ = final volume

Now we will put the values in formula,

P₁V₁ = P₂V₂

100 atm × 200 L= P₂ × 20.0 L

P₂ = 20,000 atm. L/ 20.0 L

P₂ = 1000 atm