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Consider one mole of helium gas enclosed in a container at initial pressure $$p_{1}$$ and volume $$v_[1]$$. It expands isothermally to volume $$4π_{1}$$. After this, the gas expands adiabatically and its volume becomes $$32π_{1}$$. The work done by the gas during isothermal and adiabatic expansion processes are $$π_{ππ π}$$ and $$π_{ππππ}$$, respectively. If the ratio $$\frac{π_{ππ π}}{π_{ππππ}}$$ π In2, then π is ________.
Correct Answer: e
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