Question

In an isothermal reversible expansion, if the volume of $96 g$ of oxygen at $27^{\circ} C$ is increased from $70$ litre to $140$ litre, then the work done by the gas will be

• A. $ 300\text{ }R\text{ }lo{{g}_{10}}2 $
• B. $ 81\text{ }R\text{ }lo{{g}_{e}}2 $
• C. $ 900\text{ }R\text{ }lo{{g}_{10}}2 $
• D. $ 2.3\times 900\text{ }R\text{ }lo{{g}_{10}}2 $

Answer 1

Answer: (D)

Work, $ W=nRT\times 2.3\times {{\log }_{10}}\frac{140}{70} $ $ =2.3\times \frac{96}{32}\times R\times 300\times \lg {{o}_{10}}2 $ $ =2.3\times 900R{{\log }_{10}}2 $