1. A peep with volume 180 cm is placed in a vacuum pump with a pressure of 0.9 atm. If the pressure is dropped by the pump to 0.030 atm, what will the new volume of the peep be?
P
V
T
Initial
0.9atm
180cm3
Final
0.030atm
Effect

V₂ = 5400 cm³

Explanation:

Given data:

Initial volume = 180 cm³

Initial pressure = 0.9 atm

Final pressure = 0.03 atm

Final volume = ?

Solution:

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

"The volume of given amount of gas is inversely proportional to its pressure by keeping the temperature and number of moles constant"

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

0.9 atm × 180 cm³ = 0.030 atm × V₂

V₂ = 162 atm.cm³ / 0.030  atm

V₂ = 5400 cm³