Newton's law of cooling is , where is the temperature of an object, is in hours, is a constant ambient temperature, and is a positive constant. Suppose a building loses heat in accordance with Newton's law of cooling. Suppose that the rate constant has the value Assume that the interior temperature is , when the heating system fails. If the external temperature is , how long will it take for the interior temperature to fall to

Complete Question

The complete question is shown on the first uploaded image

The time taken  is  

Explanation:

From the question we are told that

       The value of  

       The  the interior temperature is  

         The external temperature is  

          The required interior temperature is  

      The newton cooling law is

=>                

  Now integrate both sides we have  

Since c is a constant lnC = c   will also give a constant so

       =>      

     =>          

          substituting value

Hence

=>    

4

explanation:

4

as technology advances, new experiments often expose problems in accepted theories. c

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