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THERMODYNAMICS - CASE STUDY

    Introduction


Problem Description
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Austin's dad likes to take a long shower in the morning. Austin needs to find some way to get him out more quickly.

What is known:

  • Austin's dad takes a 15-minute shower every morning.
  • The average flow rate through the shower head is 10 L/min.
  • An electric water heater heats the water from 15oC to 60oC and then mixes it with cold water to 40oC at a T-elbow before it is sent to the shower head.
     

T-elbow and the Electric Heater
  Question

 

How much entropy is generated by Austin's father when he takes his daily shower?

   
  Approach

 
  • Take the electric heater and the T-elbow pipe together as a control volume.
  • Consider the mass balance and entropy balance of the control volume simultaneously.