Answer:
Given Data:
V2 ?
V1 = 200 ml,
P1 = 500kpa and P2 = 2500kpa
From Boyels law (Ideal gas law) Where temperature remains constant, Pressure is inversely proportional to volume.
P1 .V1 = P2 . V2 ; T=Constant
V2 = (P1.V1) ÷ P2
= (500×200) ÷(250)
= 400 ml
The final volume of the gas is 400 ml.
Note: Increased pressure decreases the volume or decreased pressure increase the volume as they are inversely proportional. Here in our answer pressure decreases from 500 kpa to 250 kpa so volume increases from 200 ml to 400 ml.