Question

At a constant temperature a tire has a pressure of 445 kPa and volume of 18.3 L. If the volume increases to 22.4 the new pressure of the tire will read ____kPa. Report your answer to the nearest whole number.

Answer 1

P₂ = 364 KPa

Step-by-step explanation:

Given data:

Initial pressure = 445 KPa

Initial volume = 18.3 L

Final volume = 22.4 L

Final pressure = ?

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

445 KPa × 18.3 L = P₂ × 22.4 L

P₂ = 8143.5 KPa.L/22.4 L

P₂ = 364 KPa