In: Other
Part of Dr. Ritchey’s work in her previous job involved boiling and condensing hydrocarbon mixtures. In one of her experiments, she used a binary mixture of n-pentane (density 39.1 lbm/ft^3) and p-xylene (density 53.8 lbm/ft^3). One outlet stream of her condenser was measured to have a flow rate of 56 ft^3/min and a concentration of 30/70 n-pentane/p-xylene by volume. The other outlet stream was measured to have a flow rate of 16 ft^3/min and a concentration of 50/50 n-pentane/p-xylene by volume. If the system operates at steady state and the only inlet to her condenser has a flow rate of 72 ft^3/min, what is the inlet concentration of n-pentane in % by volume?
Note: 30/70 by volume means that 30% of the volume is n-pentane and 70% of the volume is p-xylene.
Please show work with explained steps