Answered: A cylinder of volume 0.260 m3 contains…

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)...

See similar textbooks

Related questions

Question

A cylinder of volume 0.260 m³ contains 11.2 mol of neon gas at 22.4°C. Assume neon behaves as an ideal gas.

(a) What is the pressure of the gas?
Pa

(b) Find the internal energy of the gas.
J

(c) Suppose the gas expands at constant pressure to a volume of 1.000 m³. How much work is done on the gas?
J

(d) What is the temperature of the gas at the new volume?

Expert Solution

Step 1

As the gas behaves like an ideal gas, the ideal gas equation is

$P V = n R T P i s t h e p r e s s u r e o f g a s V i s t h e v o l u m e o f g a s n i s t h e n o o f m o l e s o f t h e g a s R i s t h e g a s c o n s \tan t T i s t h e t e m e r a t u r e o f t e g a s$

$P = \frac{n R T}{V} T h e v o l u m e o f t h e g a s i s e q u a l t o t h e v o l u m e o f t h e c o n t a i n e r V = 0.26 m^{3} R i s t h e g a s c o n s \tan t = 8.314 J / K m o l T = 22.4 ° C = 22.4 + 273 = 295.4 ° K P = \frac{11.2 \times 8.314 \times 295.4}{0.26} P = 1.058 \times 10^{5} P a$

Step 2

As the gas is stored in a 3-d container, the gas molecules have namely 3 degrees of freedom, i.e. along the x, y, and z axes.

The internal energy of such a gas is given as

$U = \frac{D . O . F}{2} n R T U = \frac{3}{2} n R T U = \frac{3}{2} \times 11.2 \times 8.314 \times 295.4 U = 4.126 \times 10^{4} J$

Step by step

Solved in 4 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.

Similar questions