MCQ
Work done in isothermal reversible process for ideal gas is-
  • $-nRT\  ln\ \frac{V_2}{V_1}$
  • B
    $- P(V_2 - V_1)$
  • C
    $\left( {\frac{{{P_2}{V_2} - {P_1}{V_1}}}{{\gamma  - 1}}} \right)$
  • D
    $0$

Answer

Correct option: A.
$-nRT\  ln\ \frac{V_2}{V_1}$
a
Formula based from reversible isothermal

process of work done

$\int \mathrm{d} \mathrm{w}=-\int_{\mathrm{V}_{1}}^{\mathrm{V}_{2}} \mathrm{PdV}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

Aniline is purified by :
The maximum work done in expnading $16\,g\, O_2$ isothermally at $300\, K$ and occupying a volume $5\, dm^3$ until the volume becomes $25\, dm^3$ is
The ionic mobility is lowest in which of the following?
For the following Assertion and Reason, the correct option is

Assertion $(A)$ $:$ When Cu $(II)$ and sulphide ions are mixed, they react together extremely quickly to give a solid.

Reason $(R)$ $:$ The equilibrium constant of $Cu ^{2+}( aq )+ S ^{2-}( aq ) \rightleftharpoons \operatorname{CuS}( s )$ is high because the solubility product is low.

 

Taking into account the stability of various cycloalkanes and carbocations, as well as the rules governing mechanisms of carbocation rearrangements, what is the most likely product of this reaction ?
In bromination of Propyne, with Bromine $1,1,2, \;2-$tetrabromopropane is obtained in $27\%$ yield. The amount of $1,1,2,2$ tetrabromopropane obtained from $1\; g$ of Bromine in this reaction is $\dots \;\times10^{-1}\; g$. (Nearest integer)

(Molar Mass : Bromine $=80\; g / mol$ )

The product formed in the following multistep reaction is:
Assertion : Both $Be$ and $Al$ can form complexes such as $BeF_4^{2-}$ and $AlF_6^{3-}$ respectively, $BeF_6^{3-}$ is not formed.
Reason : In case of $Be$, no vacant $d-$ orbitals are present in its outermost shell.
What is $\ce{pH}$ of resulting solution when equal volume when equal of $0.1M ,\ce{NaOH}$ and $0.01M, \ce{HCl}$ are mixed? $[\log 4.5 = 0.65]$
The first model of an atom was given by $ ..........$