Answer to Question #266469 in General Chemistry for Dith

Question

You have a gas confined to a cylinder with a movable piston. What would happen to the gas pressure inside the

cylinder if you do the following? (a) Decrease the volume to one-fourth the original volume while holding the

temperature constant

Answer 1

Decrease the volume to one-fourth the original volume while holding the temperature constant. Express your answer in terms of the variable P initial.

V₂ = 0.25 V₁. According to Boyle's law,

P₁ . V₁ = P₂ . V₂

P₁ . V₁ = P₂ . 0.25 V₁

P₁ = P₂ . 0.25

P₂ = 4 P₁

The pressure will increase 4 times. P₂ = 4 P₁