When gas in a container is expanded to twice its volume at constanttemperature, the gas pressure is its original value.O twicefour timesO the same asO half

Answered: When gas in a container is expanded to…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter2: The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 29P: A bicycle tire contains 2.00 L of gas at an absolute pressure of 7.00105 N/m2 and a temperature of...

See similar textbooks

Related questions

Concept explainers

Question

When gas in a container is expanded to twice its volume at constant
temperature, the gas pressure is its original value.
O twice
four times
O the same as
O half

Expert Solution

Step 1

The ideal gas equation is,

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

Now, as given in the question, the temperature is constant. Also, the term nR in the above ideal gas equation is constant. So, the whole term in the right hand side of the equation PV=nRT is constant.

Therefore, the above equation can be written as,

$P V = c o n s \tan t$

Thus,

$P_{1} V_{1} = P_{2} V_{2}$

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

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