Question

what is the volume of gas when the pressure on 100 cm^3 of gas is changed from 400 kPa to 200 kPa at constant temperature? a.) 50.0 cm^3 b.) 100 cm^3 c.) 200 cm^3 d.) 800 cm^3

Answer 1

Step-by-step explanation:

To determine the volume of gas when the pressure is changed from 400 kPa to 200 kPa at constant temperature, we can use Boyle's Law. Boyle's Law states that the pressure and volume of a gas are inversely proportional at constant temperature.

Mathematically, Boyle's Law can be represented 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 this case, we are given:

P1 = 400 kPa

V1 = 100 cm^3

P2 = 200 kPa

We need to find V2.

Using Boyle's Law, we can rearrange the formula to solve for V2:

V2 = (P1 * V1) / P2

Substituting the given values:

V2 = (400 kPa * 100 cm^3) / 200 kPa

Simplifying the expression:

V2 = 200 cm^3

Therefore, the volume of gas when the pressure is changed from 400 kPa to 200 kPa at constant temperature is 200 cm^3.

The correct answer is option C) 200 cm^3.

If you have any further questions, feel free to ask!

Answer 2

To determine the volume of gas when the pressure changes at constant temperature, we can use Boyle's Law, which states that the product of pressure and volume is constant for a given amount of gas at constant temperature.

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.

In this case, the initial pressure is 400 kPa, the initial volume is 100 cm^3, and the final pressure is 200 kPa.

Using the formula, we can rearrange it to solve for V2:

P1 * V1 = P2 * V2

400 kPa * 100 cm^3 = 200 kPa * V2

Simplifying the equation:

40000 kPa * cm^3 = 200 kPa * V2

Dividing both sides of the equation by 200 kPa:

200 kPa * cm^3 = V2

Therefore, the volume of gas (V2) when the pressure is changed from 400 kPa to 200 kPa at constant temperature is 200 cm^3.

The correct answer is c.) 200 cm^3.

Step-by-step explanation: