The ideal gas law can be recast in terms of the density of a gas. (a) Use dimensional analysis to find an expression for the density r of a gas in terms of the number of moles n, the volume V, and the molecular weight M in kilograms per mole. (b) With the expression found in part (a), show thatfor an ideal gas. (c) Find the density of the carbon dioxide atmosphere at the surface of Venus, where the pressure is 90.0 atm and the temperature is 7.00 x 102 K. (d) Would an evacuated steel shell of radius 1.00 m and mass 2.00 x 102 kg rise or fall in such an atmosphere? Why?
The ideal gas law can be recast in terms of the density of a gas. (a) Use dimensional analysis to find an expression for the density r of a gas in terms of the number of moles n, the volume V, and the molecular weight M in kilograms per mole. (b) With the expression found in part (a), show thatfor an ideal gas. (c) Find the density of the carbon dioxide atmosphere at the surface of Venus, where the pressure is 90.0 atm and the temperature is 7.00 x 102 K. (d) Would an evacuated steel shell of radius 1.00 m and mass 2.00 x 102 kg rise or fall in such an atmosphere? Why?
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Fluid Mechanics
Section: Chapter Questions
Problem 29P: How many cubic meters of helium are required to lift a balloon with a 400-kg payload to a height of...
Related questions
Question
The ideal gas law can be recast in terms of the density of a gas. (a) Use dimensional analysis to find an expression for the density r of a gas in terms of the number of moles n, the volume V, and the molecular weight M in kilograms per mole. (b) With the expression found in part (a), show that
for an ideal gas. (c) Find the density of the carbon dioxide atmosphere at the surface of Venus, where the pressure is 90.0 atm and the temperature is 7.00 x 102 K. (d) Would an evacuated steel shell of radius 1.00 m and mass 2.00 x 102 kg rise or fall in such an atmosphere? Why?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 7 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning