An intermediate liquid product needs to be stored during 30 days at 60°C in a cylindrical tank.

Question

A slow exothermal decomposition (400 kJ/kg) takes place with TMRad= 5days at 60°C.

Assess the thermal safety of the storage.

Data: Density = 900 kg/m3; Lambda =10 W/mk; dcrit = 2,37; Cp’ = 3,6 kJ/kgK; U = 120 W/m2K; V = 5 m3; A= 2 m2; q0 = 97 KJ/Kgs; E =10 J/mol

For the storage, the available containers are cylinders with diameters (d, cm) : 10, 15, 20, 25, 40, 50, and 100.
Which is the minimum size that would ensure safe storage.