Question

What is the work which could be obtained from an isothermal reversible expansion of 1 mol of $C{l}_2$ from $1d{m}^3$ to $50d{m}^3$ at 273 K using ideal gas behaviour.

• A. $-8.88kJmo{l}^{-1}$
• B. $8.88kJmo{l}^{-1}$
• C. $-88.8kJmo{l}^{-1}$
• D. $88.8kJmo{l}^{-1}$

Answer 1

The correct option is B $8.88kJmo{l}^{-1}$

For an ideal gas
$w=-RTln\frac{V_2}{V_1}$
$=-\left(8.314J{K}^{-1}mo{l}^{-1}\right)\left(273K\right)\times 2.303\times log\left(\frac{50d{m}^3}{1d{m}^3}\right)$
$=-8882Jmo{l}^{-1}=-8.88kJmo{l}^{-1}$
Work obtained = $8.88kJmo{l}^{-1}$