A shell and tube exchanger has one shell pass and $4$ tube passes. The fluid in the tubes enters at $200$ c and leaves at $100$ c$.$ The temperature of the fluid that enters the shell is $20$ c and leaves at $90$ c$.$ The heat transfer coefficient based on the surface area of $12$ m$2$ is $300$ W$/$m$2*$K$.$ Calculate the rate of heat transfer between the fluids.