Thermodynamics Question 10
Question 10 - 2024 (31 Jan Shift 2)
If 5 moles of an ideal gas expands from $10 L$ to a volume of $100 L$ at $300 K$ under isothermal and reversible condition then work, $w$, is $-x J$. The value of $x$ is _________.
(Given $R=8.314 J K^{-1} mol^{-1}$ )
Show Answer
Answer (28721)
Solution
It is isothermal reversible expansion, so work done negative
$$ \begin{aligned} & W=-2.303 nRT \log \left(\frac{V _2}{V _1}\right) \\ & =-2.303 \times 5 \times 8.314 \times 300 \log \left(\frac{100}{10}\right) \\ & =-28720.713 J \\ & \equiv-28721 J \end{aligned} $$
