Astronomers have recently discovered a new planet in a faraway solar system with a radius of roughly 1211 km. Spectroscopic results indicate that the atmosphere, whose height is much smaller than the planet's radius, is largely helium, making the discovery truly controversial. Experts have deduced that helium is unlikely to be generated from the planet itself, therefore it is assumed that the helium in the atmosphere was created at the inception of the planet and is completely contained by its gravitational attraction. However, wide disagreement abounds about the composition of the planet. The surface of the planet is clearly composed of aluminum oxide, but some astronomers claim that this aluminum oxide is only a thin crust and that the planet is mostly iron. Given that the atmospheric temperature is 562 ∘C, calculate the minimum density ? of the planet so that its atmosphere could contain helium atoms. The molar mass of helium is 4.002 g/mol and the gravitational constant is 6.670×10−11 m3/(kg⋅s2). Avogradro's number is 6.022×10^23 mol−1 and the Boltzmann constant is 1.380×10−23 J/K.
Astronomers have recently discovered a new planet in a faraway solar system with a radius of roughly 1211 km. Spectroscopic results indicate that the atmosphere, whose height is much smaller than the planet's radius, is largely helium, making the discovery truly controversial. Experts have deduced that helium is unlikely to be generated from the planet itself, therefore it is assumed that the helium in the atmosphere was created at the inception of the planet and is completely contained by its gravitational attraction. However, wide disagreement abounds about the composition of the planet. The surface of the planet is clearly composed of aluminum oxide, but some astronomers claim that this aluminum oxide is only a thin crust and that the planet is mostly iron. Given that the atmospheric temperature is 562 ∘C, calculate the minimum density ? of the planet so that its atmosphere could contain helium atoms. The molar mass of helium is 4.002 g/mol and the gravitational constant is 6.670×10−11 m3/(kg⋅s2). Avogradro's number is 6.022×10^23 mol−1 and the Boltzmann constant is 1.380×10−23 J/K.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Question
Astronomers have recently discovered a new planet in a faraway solar system with a radius of roughly 1211 km. Spectroscopic results indicate that the atmosphere, whose height is much smaller than the planet's radius, is largely helium, making the discovery truly controversial. Experts have deduced that helium is unlikely to be generated from the planet itself, therefore it is assumed that the helium in the atmosphere was created at the inception of the planet and is completely contained by its gravitational attraction.
However, wide disagreement abounds about the composition of the planet. The surface of the planet is clearly composed of aluminum oxide, but some astronomers claim that this aluminum oxide is only a thin crust and that the planet is mostly iron.
Given that the atmospheric temperature is 562 ∘C, calculate the minimum density ? of the planet so that its atmosphere could contain helium atoms. The molar mass of helium is 4.002 g/mol and the gravitational constant is 6.670×10−11 m3/(kg⋅s2). Avogradro's number is 6.022×10^23 mol−1 and the Boltzmann constant is 1.380×10−23 J/K.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
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
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON