Building on our knowledge of gases: 1.6 mole of CO₂ (g) occupies 3.2 L at T = 300 K. If the gas is compressed isothermally at constant external pressure Pext so that the final volume is 1.2 L, calculate the smallest value Pext can have, assuming that CO₂ satisfies the van der Waals equation of state under these conditions. Calculate the work involved using this value of Pext.

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