What is the work done in $erg$ for the reversible expansion of $1 \, \text{mole}$ of an ideal gas from $10 \, L$ to $20 \, L$ at $25 \, ^oC$?

  • A
    $-2.303 \times 8.314 \times 10^7 \times 298 \log(2)$
  • B
    $-2.303 \times 8.314 \times 298 \log(2)$
  • C
    $2.303 \times 8.314 \times 10^7 \times 298 \log(0.5)$
  • D
    $2.303 \times 8.314 \times 298 \log(2)$

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An ideal gas in a thermally insulated vessel at internal pressure $P_1$,volume $V_1$,and absolute temperature $T_1$ expands irreversibly as shown in the following diagram. The final pressure,volume,and absolute temperature of the gas are $P_2$,$V_2$,and $T_2$ respectively. Which is the correct statement for the expansion?

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