Consider one mole of helium gas enclosed in a container at initial pressure and volume

PHYSICS · Subjective · CBSE · Physics · Thermodynamics · Thermodynamics

Problem

Consider one mole of helium gas enclosed in a container at initial pressure

P_1

and volume

V_1

. It expands isothermally to volume

4V_1

. After this, the gas expands adiabatically and its volume becomes

32V_1

. The work done by the gas during isothermal and adiabatic expansion processes are

W_{iso}

and

W_{adia}

, respectively. If the ratio

\frac{W_{iso}}{W_{adia}} = f \ln 2

, then

f

is _____. [Adv. 2020]