Biosystems Eng.: pasteurization system for peanut butter

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Recent outbreaks of Salmonella in peanut butter have prompted the development of a thermal pasteurization system that heats peanut butter to 85°C to mitigate pathogen risks. The system operates with a heating power of 47 kW, and calculations are needed to determine the theoretical operating capacity in pounds per hour and the required storage tank size for an 8-hour shift. Participants in the discussion express confusion about how to approach the calculations, particularly regarding the mass of peanut butter that can be pasteurized and the necessary temperature change. Suggestions include starting with the total heat available over the shift and converting mass from kilograms to pounds. Clarification on these calculations is sought to assist those struggling with the homework problem.
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Homework Statement


In recent years, there have been several significant outbreaks and recalls associated with Salmonella in peanut butter. One company has designed a thermal pasteurization system to reduce pathogen risk in peanut butter, in which the peanut butter is pumped through a heating tube and heated to 85degC (from an initial temperature of 15.6degC). You have been given values for peanut butter density (1,090 kg/m3) and specific heat (1.2 kJ/kgK). If the pasteurizer can deliver 47 kW of heating power, (a) What is the theoretical operating capacity of the pasteurizer (lb/h) of peanut butter? (b) What size storage tank (ft3) is needed to store one shift (8 h) worth of peanut butter for this facility?

Homework Equations


V=m/ρ
V=v.ΔT
Q=m.C.ΔT
W=J/s

The Attempt at a Solution


Ok, I'm lost. I don't understand the first question and I don't know where to start. I would appreciate any help.
 
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Why don't you start by determining how many kg of peanut butter can pasteurized in an 8-hour shift? You can always convert that to pounds afterward.

Things associated with answering that question:
- What is the available Q over an 8-hour shift?
- What is the ΔT required?
 
Hi I'm in the same class and don't know the answer either did you figure it out?