Consider the figure provided. (1 ~mol ) of an ideal gas is kept in a cylinder, fitted with a piston, at the position A, at (18^ ^ C ). If the piston is moved to position ( B ), keeping the temperature unchanged, then '

Correct answer: 0 aligned & ω=-n R T ((V_2)/(V_1)) & =-1 × · 08206 × 291 · 15 ((100)/(10)) & =-55.0128 aligned Work done by system 55 ~atm lit.

JEE Main 20248 AprilMorning Shift

JEE Main 2024 · 8 April · Morning Shift · Chemistry · Thermodynamics (C)

Consider the figure provided. (1 ~mol ) of an ideal gas is kept in...

Consider the figure provided. (1

\mathrm{~mol}

) of an ideal gas is kept in a cylinder, fitted with a piston, at the position A, at (18^{{}^{\circ}}

\mathrm{C}

). If the piston is moved to position (

\mathrm{B}

), keeping the temperature unchanged, then '

x

L

atm work is done in this reversible process.

x=

______ (

\mathrm{L}

) atm. (nearest integer) [Given : Absolute temperature (={ }^{{}^{\circ}}

\mathrm{C}+

273.15,

\mathrm{R}=

0.08206

\mathrm{~L} \mathrm{~atm} \mathrm{~mol}{ }^{-1} \mathrm{~K}^{-1}

) ]

\begin{aligned} & \omega=-n R T \ln \left(\frac{V_2}{V_1}\right) \\ & =-1 \times \cdot 08206 \times 291 \cdot 15 \ln \left(\frac{100}{10}\right) \\ & =-55.0128\end{aligned}

Work done by system

\approx 55 \mathrm{~atm}

lit.