Question

Calculate the new pressure if a 2300 mL of a gas at a pressure of 1.88 atm is allowed to contract to a volume of 2.21 L.

Answer 1

V₂ = 0.958 atm

Step-by-step explanation:

Given data:

Initial volume = 2300 mL (2300/1000 = 2.3 L)

Initial pressure = 1.88 atm

Final volume = (2.21 L + 2.3L) = 4.51 L

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

1.88 atm × 2.3 L = P₂ × 4.51 L

V₂ = 1.88 atm × 2.3 L / 4.51 L

V₂ = 4.32 atm.L / 4.51 L

V₂ = 0.958 atm