P n
1. What would be the new pressure if 270 cm 3 of gas at standard pressure
is
compressed to a volume of 180 cm3 ? (n and T = constant)
T V
Initial
Final
Effect

P₂ = 1.5 atm

Explanation:

Given data:

Initial volume = 270 cm³

Initial pressure = 1atm

Final volume = 180 cm³

Final pressure = ?

Solution:

The given problem will be solved through the Boyle'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

1 atm × 270 cm³= P₂ × 180cm³

P₂ = 270 atm.  cm³/ 180cm³

P₂ = 1.5 atm

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