Question

The $q$ value and work done in isothermal reversible expansion of one mole of an ideal gas from initial pressure of $1$ bar to final pressure of $0;1$ bar at constant temperature $273K$ are:

• A. $5.22kJ,-5.22kJ$
• B. $-5.22kJ,5.22kJ$
• C. $5.22kJ,5.22kJ$
• D. $-5.22kJ,-5.22kJ$

Answer 1

The correct option is A $5.22kJ,-5.22kJ$

The workdone in isothermal reversible process is

$w=-2.303nRTlog\frac{P_1}{P_2}$

$w=-2.303\ast 8.314\ast 273log\frac{1}{0.1}$

$w=-5.22KJ$

and $q=-w=5.22KJ$