Problem $1$ Cylindrical preheat tank in a semibatch processsing unit has a capacity of $1000$ft$^(3)$ The tank has a length to diameter ratio of unity and is competely jacketed. T$\_($c$),$ the temperature of the heating material in the jacket is kept constant at $212$ Fahrenheit $($deg F$)$ by steam which condenses in the jacket. The material to be heated can be asssumed to have the properties of water:Prepare a plot showing how the tank temperature, T will wary with time for a batch operattion in which the tank contents are raised from $70$ Fahrenheit $($deg F$)$ to $170$ Fahrenheit $($deg F$).$ Q th the rate at which heat issupplied to the tank,may be representthis one as the question one but now im just asking question $2.$ Problem $2$ The heating operation described in Problem $1$ must be carried out continuously, producing $10$ ft$/$min of material heated from $70\backslash$deg F to $170\backslash$deg F$.$ Find the size of the jacketed vessel that will accomplish this task