The answer key says the answer is 0.3(0.082)(298)/4, using PV = nRT. (0.3 being the number of moles of gas after the reaction.)
But according to the coefficients in the reaction, I thought since there are 0.2 moles of SO2 there should also be 0.2 moles of SO3.

Is it a typo or am I wrong in how I approached the question?

If I understand you correctly, I knew that, and I thought the limiting reactant was SO2. So I thought that if there were 0.2 moles of SO2, there would be 0.2 moles of the product...
That was my logic