Sulfur dioxide may be converted to SO3, which has many uses including the production of H2SO4 and sulphonation of detergent. A gas stream having the composition shown in Figure below is to be passed through a two-stage converter. The fraction conversion of the SO2 to SO3 (on one pass though) in the first stage is 0.65 and in the second stage 0.55. To boost the overall conversion to 0.97, some of the exit gas from stage 2 is recycled back to the inlet to stage 2. How much must be recycled per 100 moles of inlet gas (stream F)? Ignore the effect of temperature on the conversion.