I am struggling with this problem. kindly help with problem C especially. Thank you. There is a solution on chegg, but it's not correct.

Ivarch 4 Show all work. Identify any sources of assistance. You may discuss solution strategies with other students, but may not share or copy results, or work together on the production of your written work. If you use a calculator or symbolic math package like Wolfram Alpha for integration, indicate clearly what you entered as input and what result was reported. 1. (5 points) Calculate the work w for the reversible isothermal expansion of exactly one mole of ethane gas at 500 K from an initial volume of 0.100 dm3 to a final volume of 1.000 dm3, assuming that ethane behaves as a 2 a. perfect gas b. van der Waals gas with a = 5.580 bar dm mol-2 and b = 0.0651 dm mol-1 c. Redlich-Kwong gas obeying the equation of state RT A p= Vm-B - B 11/2Vm (Vm + B) with A = 98.831 dmbar mol-2 K1/2 and B = .045153 dm mol-1 -- Cits o for water var