Describe the analytical methid for determining the work done during the expansion of gas
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Calculate the work done of n moles of a vander Waals gas in an isothermal expansion from Vi to Vf. Here p is the pressure, V is the volume, R is the gas constant, T is the temperature, n is the number of moles, a and b are the van der Walls gas constant. First we have to find out the pressure p of the gas.
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Work is a path function. So work done on the gas depends upon the path. The area under pv diagram gives the work done on the gas between initial state i and final state f. Here p is the pressure and dV is the change in volume.
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