Question

How did quadrupling the pressure change the gas volume?

Answer 1

[AI-generated answer — Bot GPT 3.5]

According to Boyle's law, the volume of a gas is inversely proportional to its pressure when temperature remains constant. This means that when the pressure increases, the volume decreases, and vice versa.

If the pressure is quadrupled (increased by a factor of 4), the volume will decrease by a factor of 4 as well. In other words, if the initial volume was V, it will become V/4 when the pressure is quadrupled.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To determine how quadrupling the pressure changes the gas volume, we can refer to Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at a constant temperature. By quadrupling the pressure, we can expect the gas volume to decrease.

Let's break down the steps:

Step 1: Recall Boyle's Law equation:
P1 * V1 = P2 * V2

Step 2: Identify the initial conditions:
P1: Initial pressure
V1: Initial volume

Step 3: Determine the new conditions after quadrupling the pressure:
P2: New pressure (which is 4 times the initial pressure)
V2: New volume (unknown)

Step 4: Set up the equation using the initial and new conditions:
P1 * V1 = P2 * V2

Step 5: Substitute the values:
P1 * V1 = (4 * P1) * V2

Step 6: Simplify the equation:
V1 = 4 * V2

Step 7: Solve for V2:
V2 = V1 / 4

Therefore, quadrupling the pressure of the gas would result in the volume decreasing to a quarter of its initial value.

Answer 3

[AI-generated answer — Explain Bot]

To understand how quadrupling the pressure could change the gas volume, we can refer to Boyle's Law, which states that the volume of a given amount of gas is inversely proportional to its pressure, as long as the temperature remains constant.

Boyle's Law can be expressed mathematically as follows:

P₁ * V₁ = P₂ * V₂

Where P₁ and V₁ represent the initial pressure and volume, while P₂ and V₂ represent the final pressure and volume.

In this case, let's assume that the initial pressure (P₁) is P, and the initial volume (V₁) is V. Quadrupling the pressure means that the final pressure (P₂) will be 4P.

Using the equation above, we can rewrite it as:

P * V = (4P) * V₂

Simplifying the equation, we get:

V₂ = V / 4

So, when the pressure is quadrupled, the gas volume is reduced to one-fourth (or 25%) of its initial volume.

To summarize, quadrupling the pressure on a gas, while keeping the temperature constant, will cause the gas volume to decrease to one-fourth of its original volume.