An ideal gas occupies a volume of 0.50 liter at a pressure of 0.20 atmosphere. What volume will the gas occupy at 0.40 atmosphere if the temperature remains constant?

Master the NLN PAX Mathematics 1 Exam with our comprehensive study guide and quizzes. Test your knowledge with multiple choice questions tailored for the PAX Math exam, featuring detailed explanations and tips to enhance your preparation and increase your chances of success.

Multiple Choice

An ideal gas occupies a volume of 0.50 liter at a pressure of 0.20 atmosphere. What volume will the gas occupy at 0.40 atmosphere if the temperature remains constant?

Explanation:
For a gas at constant temperature, pressure and volume are inversely related (Boyle’s law): P1V1 = P2V2. Here, P1 = 0.20 atm and V1 = 0.50 L, P2 = 0.40 atm. Solve for V2: V2 = (P1V1) / P2 = (0.20 × 0.50) / 0.40 = 0.10 / 0.40 = 0.25 L. Doubling the pressure halves the volume, so the gas occupies 0.25 liters.

For a gas at constant temperature, pressure and volume are inversely related (Boyle’s law): P1V1 = P2V2.

Here, P1 = 0.20 atm and V1 = 0.50 L, P2 = 0.40 atm. Solve for V2:

V2 = (P1V1) / P2 = (0.20 × 0.50) / 0.40 = 0.10 / 0.40 = 0.25 L.

Doubling the pressure halves the volume, so the gas occupies 0.25 liters.

More Multiple Choice Questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy