Tank of Helium tank used for filling helium balloons has a volume of 0.300 m and contains 2.25 mol of helium gas at 20.4°C. Assume the helium behaves like an ideal gas. a) What is the total translational kinetic energy of the gas molecules? SOLUTION Conceptualize Imagine a microscopic model of a gas in which you can watch the molecules move about the container more internal energy of the gas. vv rapidly as the temperature increases. Because the gas is monatomic, the total translational kinetic energy of the molecules is t Categorize We evaluate parameters with equations developed in the preceding discussion, so this example is a substitution v v problem. Use the following equation with n= 2.25 mol and T- 294 K (Give your answer in J): Eint -nRT - b) What is the average kinetic energy per molecule? SOLUTION Use the following equation (Give your answer in J): KERCISE he internal energy of a monatomic ideal gas is increased by a factor of 4.2. By what factor does the rms speed of the gas particles change? Hint rms, final ms, initial
Tank of Helium tank used for filling helium balloons has a volume of 0.300 m and contains 2.25 mol of helium gas at 20.4°C. Assume the helium behaves like an ideal gas. a) What is the total translational kinetic energy of the gas molecules? SOLUTION Conceptualize Imagine a microscopic model of a gas in which you can watch the molecules move about the container more internal energy of the gas. vv rapidly as the temperature increases. Because the gas is monatomic, the total translational kinetic energy of the molecules is t Categorize We evaluate parameters with equations developed in the preceding discussion, so this example is a substitution v v problem. Use the following equation with n= 2.25 mol and T- 294 K (Give your answer in J): Eint -nRT - b) What is the average kinetic energy per molecule? SOLUTION Use the following equation (Give your answer in J): KERCISE he internal energy of a monatomic ideal gas is increased by a factor of 4.2. By what factor does the rms speed of the gas particles change? Hint rms, final ms, initial
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question

Transcribed Image Text:A Tank of Helium
A tank used for filling helium balloons has a volume of 0.300 m3 and contains 2.25 mol of helium gas at 20.4°C. Assume the helium behaves like an ideal gas.
(a) What is the total translational kinetic energy of the gas molecules?
SOLUTION
Conceptualize Imagine a microscopic model of a gas in which you can watch the molecules move about the container more
rapidly as the temperature increases. Because the gas is monatomic, the total translational kinetic energy of the molecules is th
internal energy of the gas.
Categorize We evaluate parameters with equations developed in the preceding discussion, so this example is a substitution v
problem.
Use the following equation with n = 2.25 mol and T = 294 K (Give your answer in J):
Eint =nRT =
(b) What is the average kinetic energy per molecule?
SOLUTION
Use the following equation (Give your answer in J):
EXERCISE
The internal energy of a monatomic ideal gas is increased by a factor of 4.2. By what factor does the rms speed of the gas particles change?
Hint
Vrms, final
Vrms, initial
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 2 steps with 2 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY

Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning

Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY