Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Medical
  •  An ideal gas has pressure ,volume <img alt="\mathrm{V}_{0}" src="https://entran

 An ideal gas has pressure \mathrm{p}_{0},volume \mathrm{V}_{0} and temperature \mathrm{T}_{0}. It is taken through an isochoric process till its pressure is doubled. It is now isothermally expanded to get the original pressure. Finally, the gas is isobarically compressed to its original volume \mathrm{\mathrm{V}_{0}}. (a) Show the process on a p-V diagram. (b)What is the temperature in the isothermal part of the process? (c) What is the volume at the end of the isothermal part of the process?   

Option: 1

-


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

(a) The process is shown in a \mathrm{p}-\mathrm{V}diagram in figure. The process starts from \mathrm{A} and goes through \mathrm{ABCA}.


(b) \mathrm{Applying \, \mathrm{pV}=\mathrm{nRT}\, at\, \mathrm{A}\: and \: \mathrm{B}},
                           \mathrm{\mathrm{p}_{0} \mathrm{~V}_{0}=\mathrm{nRT}_{0} }

\mathrm{\text { and } \left(2 \mathrm{p}_{0}\right) \mathrm{V}_{0}=\mathrm{nRT}_{\mathrm{B}} }
\mathrm{\text { Thus, } \mathrm{T}_{\mathrm{B}}=2 \mathrm{~T}_{0} }
This is the temperature in the isothermal part \mathrm{BC}.

(c) As the process \mathrm{BC}  is isothermal, \mathrm{\mathrm{T}_{\mathrm{C}}=\mathrm{T}_{\mathrm{B}}=2 \mathrm{~T}_{0}}.
\text{Applying}\: \mathrm{pV}=\mathrm{nRT}$ at $\mathrm{A}$ and $\mathrm{C}
                     \quad \mathrm{p}_{0} \mathrm{~V}_{0}=\mathrm{nRT}_{0}

\text { and } \mathrm{p}_{0} \mathrm{~V}_{\mathrm{c}} \mathrm{nR}\left(2 \mathrm{~T}_{0}\right)
         \mathrm{V}_{\mathrm{C}} 2 \mathrm{~V}_{\mathrm{C}^{*}}  
       

Posted by

qnaprep

View full answer

NEET 2024 Most scoring concepts

    Just Study 32% of the NEET syllabus and Score up to 100% marks

Similar Questions

Trending Articles/News

anam-khan

‘Re-NEET must be secure, transparent and fool proof’: Dharmendra Pradhan at review meeting
anam-khan

NEET UG 2026 Re-exam on June 21; top medical colleges with lowest MBBS fees
anam-khan

Re-NEET Exam 2026 LIVE: Re-test on June 21; CBI probes NTA leak link, official guidelines, correction window

Latest Question