According to Boyle's Law, a gas has a volume of 5.0 L at a certain pressure. How must the pressure be changed to double the volume of the gas at constant temperature?
The pressure must be halved.
The pressure must be quadrupled.
There is not enough information to decide.
The pressure must be doubled.
Boyle's Law says volume and pressure are inversely proportional. In practical words that is this.
Volume goes up then pressure goes down or
Volume goes down then pressure goes up.
Or you can use p1v1 = p2v2
According to Boyle's Law, which describes the relationship between the volume and pressure of a gas at constant temperature, the volume of a gas is inversely proportional to its pressure. This means that as the pressure of a gas increases, its volume decreases, and vice versa.
In this case, we are given that the volume of the gas is 5.0 L at a certain pressure. We want to know how the pressure must be changed to double the volume of the gas while keeping the temperature constant.
To solve this problem, we can use the formula for Boyle's Law, which is written as:
P1 * V1 = P2 * V2
Where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.
In our case, P1 is the initial pressure, V1 is the initial volume, P2 is the final pressure (which is unknown), and V2 is the final volume (which is double the initial volume, i.e., 10.0 L).
Plugging these values into the equation, we get:
P1 * 5.0 L = P2 * 10.0 L
Next, we can rearrange the equation to solve for P2:
P2 = (P1 * V1) / V2
P2 = (P1 * 5.0 L) / 10.0 L
Simplifying the equation:
P2 = 0.5 * P1
This tells us that the final pressure (P2) must be half the initial pressure (P1) in order to double the volume of the gas at constant temperature.
Therefore, the correct answer is: The pressure must be halved.
According to Boyle's Law, at constant temperature, the pressure and volume of a gas are inversely proportional. Mathematically, this can be represented as P1 * V1 = P2 * V2, where P1 and V1 represent the initial pressure and volume, and P2 and V2 represent the new pressure and volume.
In this case, we know that the gas has a volume of 5.0 L at a certain pressure. To double the volume of the gas, we need to find out how the pressure must be changed.
Using Boyle's Law equation, we can rewrite it as P1 * 5.0 L = P2 * 10.0 L, where P1 is the initial pressure and P2 is the new pressure.
To find out how the pressure must be changed, we can rearrange the equation to solve for P2: P2 = (P1 * 5.0 L) / 10.0 L.
Simplifying the equation, we get P2 = P1 / 2.
Therefore, to double the volume of the gas at constant temperature, the pressure must be halved.
So, the correct answer is: The pressure must be halved.