1) a) Find a general expression for w (work) when 1.000 mole of a pure chemical substance is compressed reversibly and isothermally from an initial volume Vi to a final volume VF. Do this for the following two cases: i. an ideal gas p=VmRT ii. a gas obeying the van der Waals equation of state b) Show that the expression for work obtained for the van der Waals equation is the same as that found for an ideal gas if a=b=0. c) Using your results from part a, find the numerical value for work when the volume of 1.000mol of argon (MW=39.95g/mol) is changed from an initial volume Vi=20.00L to a final volume Vf=0.200L reversibly and isothermally, at T=300.0K. Do this assuming the gas is ideal, and assuming the gas obeys the van der Waals equation of state. How much do your two results differ? Note that for argon, a=1.337L2atm/mol2,b=0.0320 L/mol