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AP EAMCET · Chemistry · Thermodynamics (C)

If \(5 \mathrm{~L}\) of an ideal gas at a constant external pressure of \(2 \mathrm{~atm}\) expands isothermally to a final volume of ' \(\mathrm{X}\) ' \(\mathrm{L}\), the system does a work of \(-2,026.4 \mathrm{~J}\). ' \(\mathrm{X}\) ' (in L) is (1 L. atm \(=101.32 \mathrm{~J}\) )

  1. A 25
  2. B 20
  3. C 15
  4. D 10
Verified Solution

Answer & Solution

Correct Answer

(C) 15

Step-by-step Solution

Detailed explanation

\(\mathrm{W}=-\mathrm{P}_{\mathrm{ext}}\left(\mathrm{V}_2-\mathrm{V}_1\right)=-2(\mathrm{x}-5)=-2026.4 \mathrm{~J}\) \(\begin{aligned} & =-20 \text { L.atm } \\ & \Rightarrow-2 x+10=-20 \Rightarrow 2 x-10=20 \\ & \Rightarrow x=15 L\end{aligned}\)
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