A hydrogen gas is contained in a cylinder with a volume of 2.50 × 10¯³ m³ at atmospheric pressure. The gas and cylinder are at a thermal equilibrium of 30.0 °C. Assume that the hydrogen gas obeys the behaviors of monatomic ideal gas and the molar mass of hydrogen, Mmolar (H2) is 2.00 g mol¯!. (a) Calculate the number of moles of the hydrogen gas in the cylinder. Show that the r.m.s. speed of an ideal gas with a molar mass, Mmolar and at temperature T, can be given by (b) 3RT V rms M molar where R is the universal gas constant. Use the equation obtained in Q3. (b) to find the molecular r.m.s. speed of the hydrogen gas. (c)

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
icon
Related questions
Question

PLEASE HELP ANSWER THIS THERMODYNAMICS PRACTICE QUESTION THANK YOU

A hydrogen gas is contained in a cylinder with a volume of 2.50 × 10³ m³ at
atmospheric pressure. The gas and cylinder are at a thermal equilibrium of 30.0 °C.
Assume that the hydrogen gas obeys the behaviors of monatomic ideal gas and the
molar mass of hydrogen, Mmolar (H2) is 2.00 g mol!.
(a)
Calculate the number of moles of the hydrogen gas in the cylinder.
(b)
Show that the r.m.s. speed of an ideal gas with a molar mass, Mmolar and at
temperature T, can be given by
3RT
V rms
=
M.
molar
where R is the universal gas constant.
(c)
Use the equation obtained in Q3. (b) to find the molecular r.m.s. speed of the
hydrogen gas.
Transcribed Image Text:A hydrogen gas is contained in a cylinder with a volume of 2.50 × 10³ m³ at atmospheric pressure. The gas and cylinder are at a thermal equilibrium of 30.0 °C. Assume that the hydrogen gas obeys the behaviors of monatomic ideal gas and the molar mass of hydrogen, Mmolar (H2) is 2.00 g mol!. (a) Calculate the number of moles of the hydrogen gas in the cylinder. (b) Show that the r.m.s. speed of an ideal gas with a molar mass, Mmolar and at temperature T, can be given by 3RT V rms = M. molar where R is the universal gas constant. (c) Use the equation obtained in Q3. (b) to find the molecular r.m.s. speed of the hydrogen gas.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Thermodynamics of Reactive System
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.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY