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A measured sample of argon gas has a volume of 20.0 L at a pressure of 660 mm Hg. What is the final volume

if the pressure is decreased to 550 mmHg?
O A. 5.5 L
O B. 17 L
OC. 24 L
OD. 240 L

1 Answer

5 votes

Answer:

C . 24 L

Step-by-step explanation:

Given data:

Initial volume of gas = 20.0 L

Initial pressure of gas = 660 mmHg

Final volume = ?

Final pressure = 550 mmHg

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

660 mmHg × 20.0 L = 550 mmHg × V₂

V₂ = 13200 mmHg. L/ 550 mmHg

V₂ = 24 L

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