Radiator Overflow Reservoir

         
bcoolant = 410 x 10-6 C-1 
         
bradiator = 51  x 10-6 C-1
Radiator is full (15 quarts) when T = 6 C.

How much overflow will occur at T = 92 C ?
-----------------------------------------------------------


D T = 92 - 6 = 86 C

Coolant:   D V = bV0 D T 
                        = (410 x 10-6 )(15)(86)
                        = 0.529 quart 
Radiator:  D V = bV0 D T 
                         = (51 x 10-6)(15)(86)
                         = 0.066 quart 

Overflow:  0.529 - 0.066 = 0.463 quart