Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

One mole of an ideal gas is contained under a weightless pistion of a vertical cylinder at a temperature $\mathrm{T}$ . The space over the pistion opens into the atmosphere. What work has to be performed in order to increase isothermally the gas volume under the pistion $\eta$ times
Option: 1
-

Option: 2
-

Option: 3
-

Option: 4
-

Answers (1)

best_answer

Let A be the area of cross-section

$\mathrm{F}+\mathrm{PA}=\mathrm{P}_{0} \mathrm{~A}$
$\mathrm{~F}=\left(\mathrm{P}_{0}-\mathrm{P}\right) \mathrm{A}$

Work done by the agent
$\mathrm{W}=\int_{\mathrm{V}}^{n \mathrm{~V}} \mathrm{Fdx}=\int_{\mathrm{V}}^{n \mathrm{~V}}\left(\mathrm{P}_{0}-\mathrm{P}\right) \mathrm{Adx}$
$=\int_{\mathrm{V}}^{n \mathrm{y}}\left(\mathrm{P}_{0}-\mathrm{P}\right) \mathrm{dV}$
$=P_{0}(\eta-1) V-\int_{V}^{\eta V} n R T \frac{d V}{V}$
$=R T(\eta-1)-n \log _{\mathrm{e}} \eta$

Posted by

Deependra Verma

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

NEET exam stress? 17 year-old MBBS aspirant dies by suicide in Goa; police launch probe

anam-khan

NEET UG 2026 Exam LIVE: Re-NEET dates soon for MBBS, BDS admissions; registration fee refund, NTA paper leak

anam-khan

'Abolish NEET', says Tamil Nadu CM Vijay citing structural flaws; backs 12th marks for MBBS admission

Latest Question