Answer to Question #126325 in Mechanical Engineering for Abhishek singh

Question

Find Equivalent processing time (min) at 100oC and 150oC, respectively, which will determine the lethality equivalent to that obtained at 121oC. F121 = 45min and Z= 10.5oC.

Answer 1

For equivalent processing time we know that,

$F=F_{ref}\times 10^{\frac{T_{ref}-T}{z}}$

here it is given that, $F_{ref}=F_{121}=40$ min, so for temp

(a) T=100^oC,

$F=F_{ref}\times 10^{\frac{T_{ref}-T}{z}}$

$F=40\times 10^{\frac{121-100}{10.5}}$

F= 4000 min

(b) For temp T= 150 ^oC

$F=F_{ref}\times 10^{\frac{T_{ref}-T}{z}}$

$F=40\times 10^{\frac{121-150}{10.5}}$

F= 0.0767 min