Question

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In order to carbonate soda, soda companies have to compress carbon dioxide close to 1250 mL of carbon dioxide at a pressure of 1.00 atm into a can with a volume of 225 mL. What is the pressure of carbon dioxide inside the soda can?
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Answer 1

Pressure inside soda can = 5.56 atm

Step-by-step explanation:

Given data:

Initial volume = 1250 mL

Initial pressure = 1.00 atm

Final volume = 225 mL

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

1.00 atm × 1250m L = P₂ × 225 mL

P₂ = 1250 atm. mL/ 225 mL

P₂ = 5.56 atm