Question

How did tripling 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, assuming the temperature and amount of gas remain constant. This means that if you triple the pressure of a gas, the volume will decrease by a factor of three.

Mathematically, Boyle's Law can be represented as:

P₁V₁ = P₂V₂

where P₁ and V₁ are the initial pressure and volume, and P₂ and V₂ are the final pressure and volume.

If the pressure is tripled (P₂ = 3P₁), the equation becomes:

P₁V₁ = 3P₁V₂

Rearranging the equation to solve for V₂ yields:

V₂ = V₁/3

This shows that the gas volume will decrease to one-third of its initial volume when the pressure is tripled.

Answer 2

[AI-generated answer — Explain Bot]

To understand how tripling the pressure affects the gas volume, we need to consider Boyle's Law, which states that at constant temperature, the pressure and volume of a gas are inversely proportional.

Mathematically, Boyle's Law can be written as:

P1 × V1 = P2 × V2

Where P1 and V1 are the initial pressure and volume of the gas, and P2 and V2 are the final pressure and volume.

If we triple the pressure (P2 = 3P1), the equation becomes:

P1 × V1 = (3P1) × V2

Dividing both sides of the equation by P1, we get:

V1 = 3V2

This equation tells us that if the pressure of a gas is tripled, the volume will decrease to one-third of its original value.

In simpler terms, increasing the pressure applied to a gas reduces its volume. Tripling the pressure means multiplying it by 3, which in turn reduces the gas volume to one-third of its initial value.

Answer 3

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

When the pressure of a gas is tripled, it leads to a decrease in the gas volume. This is described by Boyle's Law, which states that the volume of a gas is inversely proportional to its pressure, assuming constant temperature.

Mathematically, Boyle's Law can be expressed 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.

If the initial pressure is tripled (P2 = 3 * P1), then the final volume (V2) would be one-third (1/3) of the initial volume (V1). In other words, the gas volume decreases by a factor of 3 when the pressure is tripled.