Question

Work done in an isothermal reversible expansion of $1$ mole $C{l}_2$ from $1ltr$ to $50$ litre at $273K$ (for $C{l}_2$, $a=0.655litr{e}^{2}MPamo{l}^{-2},b=0.055litremo{l}^{-1}$)

• A. $-8.365kJ/mol$
• B. $32.55kJ/mol$
• C. $8.365kJ/mol$
• D. $83.65kJ/mol$

Answer 1

The correct option is B $32.55kJ/mol$

$W=-2.303nRT\log \frac{V_2}{V_1}$

$=-2.303\times 1\times 8.314\times \log \frac{50}{1}$

$=32.535$

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