If the pressure of a gas is increased by 2x
, what will happen to the volume?
It will increase by +2
.
It will increase by 2x
.
It will decrease by -2
.
It will decrease by 1/2
.
It will decrease by 1/2.
When the pressure of a gas is increased by 2x, the volume of the gas will decrease.
To determine the relationship between pressure and volume, we can refer to Boyle's Law, which states that at constant temperature, the product of pressure and volume is always constant. Mathematically, this can be expressed as P₁V₁ = P₂V₂, where P₁ and V₁ represent the initial pressure and volume, and P₂ and V₂ represent the final pressure and volume.
In this case, if the pressure of a gas is increased by 2x (meaning it is doubled), we can assign P₁ as the initial pressure and P₂ as the final pressure, where P₂ = 2P₁.
Using Boyle's Law, we can substitute P₂ = 2P₁ into the equation P₁V₁ = P₂V₂:
P₁V₁ = (2P₁)V₂
Dividing both sides of the equation by P₁:
V₁ = 2V₂
This equation shows that the initial volume (V₁) is equal to twice the final volume (V₂). Therefore, if the pressure of a gas is increased by 2x, the volume of the gas will increase by a factor of 2 or 2x. In other words, the correct answer is "It will increase by 2x."