Question

The volume of a gas is 0.30 L when the pressure is 1.00 atm. At the same temperature, what is the pressure at which the volume of the gas is 2.0 L

Answer 1

Answer:

The pressure at which the volume of the gas is 2.0 L is 0.15 atm

Explanation:

As the volume increases, the gas particles (atoms or molecules) take longer to reach the walls of the container and therefore collide less times per unit time against them. This means that the pressure will be less because it represents the frequency of gas strikes against the walls. In this way the pressure and volume are related, determining Boyle's law that says:

"The volume occupied by a given gas mass at constant temperature is inversely proportional to the pressure"

Boyle's law is expressed mathematically as:

Pressure * Volume = constant

o P * V = k

The change in pressure or temperature during an isothermal transformation (constant temperature) is determined by:

P1 * V1 = P2 * V2

That is, the product between the initial pressure and the initial volume is equal to the product of the final pressure times the final volume.

In this case:

• P1: 1 atm
• V1: 0.30 L
• P2: ?
• V2: 2 L

Replacing:

1 atm* 0.30 L= P2* 2 L

Solving:

$P2=\frac{1 atm*0.30 L}{2 L}$

P2= 0.15 atm

The pressure at which the volume of the gas is 2.0 L is 0.15 atm