Skelly4444
Junior Member
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- Apr 4, 2019
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A cup of liquid at 5 degrees Celsius is removed from a fridge and placed in a room which is at 19 degrees Celsius.
The initial rate of cooling is 5.7 degrees Celsius per minute.
(a) Show that dx/dt = 0.3(19-x)
(b) Find the time taken for the liquid to reach the ambient temperature.
I'm really struggling to agree with the book on this one. Struggling with part (a) to be honest.
I separated the variables, integrated both sides and arrived at a value of -ln|14| for the constant of integration.
The book's answer states approximately 11 minutes for part (b) and I cannot get close to that answer, I obtain a strange value of -1.018.
Any guidance would be much appreciated.
The initial rate of cooling is 5.7 degrees Celsius per minute.
(a) Show that dx/dt = 0.3(19-x)
(b) Find the time taken for the liquid to reach the ambient temperature.
I'm really struggling to agree with the book on this one. Struggling with part (a) to be honest.
I separated the variables, integrated both sides and arrived at a value of -ln|14| for the constant of integration.
The book's answer states approximately 11 minutes for part (b) and I cannot get close to that answer, I obtain a strange value of -1.018.
Any guidance would be much appreciated.