2. The homogeneous gas-phase decomposition of phosphine
$$4 PH_3(g) \rightarrow P_4(g) + 6 H_2 (g)$$
proceeds at 649°C with the first-order rate $$-r(PH_3) = (10/h) C_{PH_3}$$
a) What size of plug flow reactor (PFR) operating at 649°C and 460 kPa can produce 80%
conversion of a feed consisting of 40 mol/h of pure phosphine?
b) What size of plug flow reactor (PFR) operating at 649°C and 11.4 atm is needed for
75% conversion of 10 mol/hr of phosphine in a 2/3 phosphine-1/3 inert feed?