A given sample of a gas has a volume of 3 liters at a pressure of 4 atmospheres. If temperature remains
constant and the pressure is changed to 6
atmospheres, the P x V product will equal
A). 9 B) 12 C) 18 D) 24

The product of this given sample of gas is equal to: B) 12 atm.

Given the following data:

To determine the product of this given sample of gas, we would apply Boyle's law:

Boyle's law states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.

Mathematically, Boyle's law is given by the formula;

Where;

Substituting the given parameters into the formula, we have;

Find more information: link

B) 12

Explanation:

Given parameters:

Initial volume  = 3L

Initial pressure  = 4atm

Final pressure  = 6atm

Unknown:

Final volume  = ?

Solution:

To solve this problem, we apply Boyle's law which states that "the volume of a fixed mass of a gas varies inversely as the pressure changes if the temperature is constant".

   P₁V₁  = P₂V₂

 P and V are pressure and temperature values

 1 and 2 are initial and final states.

    PV product  = 3 x 4 = 12