Question

A sample of gas under pressure of 882kPa has a volume of 312cm3. The pressure is increased to 948kPa. What volume will the gas occupy at the new pressure, assuming that the temperature is constant?

Answer 1

V₂ = 290.3 cm³

Step-by-step explanation:

Given data:

Initial pressure = 882 KPa

Initial volume = 312 cm³

Final pressure = 948 KPa

Final volume = ?

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

882 KPa× 312 cm³ = 948 KPa × V₂

V₂ = 882 KPa× 312 cm³/ 948 KPa

V₂ = 290.3 cm³