Sulfuric acid $($H$2$SO$4,40\%)$ and nitric acid $($HNO$3,30\%)$ are found in waste acid from nitrating processes. The use of concentrated H$2$SO$4(91\%)$ and concentrated HNO$3(65\%)$ will strengthen this dilute acid. The produced acid should have a $42\%$ H$2$SO$4$ and a $32\%$ HNO$3$ content.

a$.$ Draw and label flowchart

b$.$ Perform degree of freedom analysis

c$.$ Calculate the quantities of waste and concentrated acids that should be mixed to yield $1000$ lbm of product acid per hour.