Uploaded by Olowe John

Calculate the pressure-volume work done by the system when the gas expands from 1-litre to 2-litre against a constant external pressure of 10 atmosphere. Express the answer in calorie and joule.

advertisement
Sign In
Questions & Answers
CBSE
Chemistry
Grade 11
Thermodynamics
Last updated date: 07th Dec 2023 • Total views: 359.1k • Views today: 3.59k
Answer
NCERT Solutions
CBSE
CBSE Study Material
Textboo
Calculate the pressure-volume work done by the system when the gas
expands from 1-litre to 2-litre against a constant external pressure of 10
atmosphere. Express the answer in calorie and joule.
Answer
Verified
359.1k+ views
1 likes
Hint: Pressure -Volume work done occurs when the volume of the gas or system changes. Work
done by a system is the energy transferred from it to its surroundings. Express that work in
joules and calories, -Pexternal ×△
V
.
Complete step by step answer:
If the gas is heated, the gas molecules are energized. The increase in average kinetic energy of
the gas molecules can be observed by measuring how the temperature of the gas particles
increased. The gas molecules collide with the piston more frequently, by the fast movement of
the gas particles. These frequent collisions transfer energy to the piston and allow it to move
against an external pressure thus, increasing the net volume of the gas.
The work done by the gas is specifically the expansion and compression of the gas. Work done
by gases is sometimes called pressure-volume or PV work.
To calculate how much work is done (or has done to it) by the gas against a constant external
Get FREE access to PDFs, LIVE classes, Quizzes and more
pressure, we have to use an equation:
Signup/Login
•
•
WORK= (w) = -Pexternal ×△
V
where external pressure is denoted by Pexternal . The external
pressure opposes the pressure of the gas in the system. ∆V is a change in the volume of the
gas, which is calculated as Vfinal
− Vin
itial
.
Sign convention of work :
When a system does work on the surroundings, negative work is said to have occurred.
When the gas does work, the volume of the gas particles decreases (△
V
<0).The work done is
positive.
When the gas does work, the volume of the gas particles increases (△
V
>0).The work done is
negative.
Units conversion:
Work has its units in JOULES.
Pressure-volume work has its unit in L-atm which is to be converted to Joules using the
conversion factor 101.325J/1L-atm
To convert joules to calories the conversion factor is 0.239cal/1J.
Calculate the pressure-volume work done by the gas:
Given: Pexternal = 10 atmospheres Vinitial = 1 litre Vfinal = 2 litres
Use the formula, to calculate the work done by the gas:
WORK= (w) = -Pexternal ×△
V
Substitute the values as Vfinal
− Vin
itial
The net formula is
= -Pexternal ×(Vfinal
− Vin
itial
)
Substitute the values of Pexternal ,Vinitial , Vfinal as 10 atmospheres, 1 litre and 2 litres.
The work done is
= - (10 atm)×(2 litres – 1 litre)
= - (10 atm)×(1 litre)
= - (10 litre-atm)
Convert
litre atm
to joules
usingQuizzes
the conversion
Get
FREE access
to PDFs,
LIVE classes,
and more
factor:
•
•
Signup/Login
1 L-atm has 101.325J, so -10 L-atm has (-10)×(101.325J) is equal to (-1013.25 Joules. )
To convert joules into calories multiply the joule by 0.239 factor, (0.239) ×(-1013.25) is equal to
- 242.16 Calories.
The answer of the question is -1013.25 Joules and -242.16 calories.
Note:
(i) Take care of the sign convention while solving the numerical of the work done. As the sign
convention by the gas and on the gas is different.
(ii) Do not forget to convert to use conversion factor for the required units as mentioned in the
question.
LIVE Masterclass
LIVE 52
LIVE 52
Started at 9:45 am
LIVE 52
Started at 9:45 am
Started at 9:45 am
Physics
Physics
Business Studies
5 Common Mistakes in Physics
JEE| Learn to Avoid them!
General Physics | Quiz Time
Quiz session
By Vipul Deshmukh
By Yudhishtar Charan
By Sheetal Katka
Join Now
Join Now
Join Vedantu's Telegram
Channel
Get exclusive access to Vedantu founders for
thier expert insights, tips & Study Material to ace
your exams.
Join Now
Book your Free Demo session
Get FREE access to PDFs, LIVE classes, Quizzes and more
Get a flavour of LIVE classes
here at Vedantu
•
•
Signup/Login
Book a free demo
Vedantu Improvement Promise
We promise improvement in marks or get your fees back. T&C Apply*
Latest Vedantu courses for you
Grade 6 | CBSE | SCHOOL | English
CBSE (2023-24)
Academic year 2023-24
ENGLISH
Unlimited access till final school exam
School Full course for CBSE students
Maths
English
Science
₹38,500 (9% Off)
₹35,000 per year
EMI starts from ₹2,916.67 per month
Select and buy
Recently Updated Pages
Basicity of sulphurous acid and sulphuric acid are
Which of the following would not be a valid reason class 11 biology CBSE
Why should electric field lines never cross each other class 12 physics CBSE
Trending doubts
Get FREE access to PDFs, LIVE classes, Quizzes and more
Signup/Login
•
•
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Which one of the following places is unlikely to be class 8 physics CBSE
Select the word that is correctly spelled a Twelveth class 10 english CBSE
REPEATERS COURSE FOR NEET 2022 - 23
NEET Repeater 2023 - Aakrosh 1 Year Course
Get FREE access to PDFs, LIVE classes, Quizzes and more
Signup/Login
•
•
Study material
NCERT
NCERT
NCERT Solutions for Class 12 Biology
NCERT Solutions
NCERT Solutions for Class 12 Business Studies
NCERT Solutions for Class 12
NCERT Solutions for Class 12 Economics
NCERT Solutions for Class 12 Maths
NCERT Solutions for Class 12 Accountancy
NCERT Solutions for Class 12 Physics
NCERT Solutions for Class 12 English
NCERT Solutions for Class 12 Chemistry
NCERT Solutions for Class 12 Hindi
NCERT Solutions for Class 11
NCERT Solutions for Class 11 Business Studies
NCERT Solutions for Class 11 Maths
NCERT Solutions for Class 11 Economics
NCERT Solutions for Class 11 Physics
NCERT Solutions for Class 11 Accountancy
NCERT Solutions for Class 11 Chemistry
NCERT Solutions for Class 11 English
NCERT Solutions for Class 11 Biology
NCERT Solutions for Class 11 Hindi
Get FREE access to PDFs, LIVE classes, Quizzes and more
Signup/Login
•
•
NCERT Solutions for Class 10
NCERT Solutions for Class 9
NCERT Solutions for Class 10 Maths
NCERT Solutions for Class 9 Maths
NCERT Solutions for Class 10 Science
NCERT Solutions for Class 9 Science
NCERT Solutions for Class 10 English
NCERT Solutions for Class 9 English
NCERT Solutions for Class 10 Social Science
NCERT Solutions for Class 9 Social Science
NCERT Solutions for Class 10 Hindi
NCERT Solutions for Class 9 Hindi
NCERT Solutions for Class 8
NCERT Books
NCERT Solutions for Class 8 Maths
NCERT Books Class 12
NCERT Solutions for Class 8 Science
NCERT Books Class 11
NCERT Solutions for Class 8 English
NCERT Books Class 10
NCERT Solutions for Class 8 Social Science
NCERT Books Class 9
NCERT Solutions for Class 8 Hindi
NCERT Books Class 8
Reference book solutions
Reference Book Solutions
Lakhmir Singh Solutions
HC Verma Solutions
DK Goel Solutions
RD Sharma Solutions
TS Grewal Solutions
RS Aggarwal Solutions
Sandeep Garg
NCERT Exemplar Solutions
Competitive Exams
Competitive Exams
Olympiad Preparation
JEE Main
NDA
JEE Advanced
KVPY
NEET
NTSE
CBSE
CBSE
CBSE Important Questions
CBSE Syllabus
CBSE Previous Year Question Papers Class 12
CBSE Sample Paper
CBSE Previous Year Question Papers Class 10
CBSE Worksheets
CBSE Important Formulas
ICSE
ICSE
ICSE Class 9 Solutions
ICSE Solutions
ICSE Class 8 Solutions
ICSE Class 10 Solutions
Get FREE access to PDFs, LIVE classes, Quizzes and more
Signup/Login
•
•
State boards
State Boards
MP Board
AP Board
Rajasthan Board
Bihar Board
Telangana Board
Gujarat Board
TN Board
Karnataka Board
UP Board
Kerala Board
WB Board
Maharashtra Board
Free Study Material
Free Study Material
NEET Study Materials
Previous Year Question Papers
Olympiad Study Materials
Sample Papers
Kids Learning
JEE Main Study Materials
Ask Questions
JEE Advanced Study Materials
Important Subjects
Physics
English
Biology
Commerce
Chemistry
Geography
Maths
Civics
Revision Notes
Revision Notes
CBSE Class 10 Notes
CBSE Class 12 Notes
CBSE Class 9 Notes
CBSE Class 11 Notes
CBSE Class 8 Notes
JEE MAIN
JEE Main
JEE Main Syllabus
JEE Main Important Questions
JEE Main Physics Syllabus
JEE Main Important Chapters
JEE Main Mathematics Syllabus
JEE Main Notes
JEE Main Chemistry Syllabus
JEE Main Formulas
JEE Main Previous Year Question Paper
JEE Main Difference between
JEE ADVANCED
JEEFREE
Advanced
Get
access to PDFs, LIVE classes, Quizzes and more
JEE Advanced Important Questions
JEE Advanced Important Chapters
Signup/Login
•
JEE
• Advanced Notes
JEE Advanced Formulas
JEE Advanced Mathematics Syllabus
JEE Advanced Difference between
JEE Advanced Chemistry Syllabus
JEE Advanced Syllabus
JEE Advanced Previous Year Question Paper
JEE Advanced Physics Syllabus
NEET
NEET
NEET Syllabus
NEET Important Questions
NEET Physics Syllabus
NEET Important Chapters
NEET Chemistry Syllabus
NEET Notes
NEET Biology Syllabus
NEET Diagrams
NEET Previous Year Question Paper
NEET Difference between
© 2023.Vedantu.com. All rights reservedPrivacy policy Terms and conditions
Get FREE access to PDFs, LIVE classes, Quizzes and more
Signup/Login
•
•
Download