THERMODYNAMICS - CASE STUDY 
         
      
     | 
  
   
    |   | 
       | 
    Introduction 
       
     | 
  
   
     
       
        
		  
        A Seller's Call         
      | 
      | 
     
       A spot cooler is a device which  can produce hot and cold streams
        of air from a single stream of air at an intermediate
        temperature without any work or heat transfer. This product can be used
        for emergency cooling or short-term cooling. A seller called
        Kay and said his  spot cooler can work at normal atmospheric
        pressure and cost nothing to cool the air. Can Kay trust the salesperson? 
      What is known: 
      
        - The ambient air enters the spot cooler at  a temperature of 36oC and a pressure of 1 atm.
 
        - 25% of the   air exits as cooled air at 24oC and a pressure of 1 atm.
 
        -  75% of the   air exits as hot air at 40oC and a pressure of 1 atm.
 
       
     | 
  
  
    |   | 
      | 
      | 
  
   
    |   | 
      | 
    Question 
       
     | 
  
   
    |  
        
        
  | 
      | 
    Is the salesperson telling the truth? 
      | 
  
  
    |   | 
      | 
      | 
  
  
    |   |  
      | 
     Approach 
       
     | 
  
  
    |   | 
      | 
    If the product satisfies both the first and
      the second law of  thermodynamics, it can work. To verify if it satisfies
      the first law, check the energy balance of the system. To verify if it satisfies the second law, check
      the entropy change of the entire process.  | 
  
    
    |   | 
      | 
      |