The entropy of v=4.0v=4.0v=4.0 moles of an ideal gas increases by ΔS=23 J/K\Delta S=23 \mathrm{~J} / \mathrm{K}ΔS=23 J/K due to the isothermal expansion. How many times should the volume v=4.0v=4.0v=4.0 moles of the gas be increased?