# If V1 and V2 are the initial and final volume respectively, then which of the following is an expression for the work done in an iso-thermal process:

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If V1 and V2 are the initial and final volume respectively, then which of the following is an expression for the work done in an iso-thermal process:
1. $\mu RTlog_e\left ( \frac{V_1}{V_2} \right )$
2. $\mu RTlog_e\left ( \frac{V_2}{V_1} \right )$
3. $\mu RTlog_e\left ( {V_1}-{V_2} \right )$
4. $\mu RTlog_e\left ( {V_2}-{V_1} \right )$

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Correct Answer - Option 2 : $\mu RTlog_e\left ( \frac{V_2}{V_1} \right )$

CONCEPT:

Isothermal process:

• When a thermodynamic system undergoes a physical change in such a way that its temperature remains constant, then the change is known as the isothermal process.

⇒ T = constant

EXPLANATION:

• We know that the work done in an isothermal process is given as,

$\Rightarrow W=\mu RTlog_e\left ( \frac{V_2}{V_1} \right )$

• Hence, option 2 is correct.