Asked by satan
                Newton’s law of cooling states that for a cooling substance with initial temperature  T0
T
0
, the temperature T(t)
T
(
t
)
after t minutes can be modeled by the equation T(t)=Ts+(T0−Ts)e−kt
T
(
t
)
=
T
s
+
(
T
0
−
T
s
)
e
−
k
t
, where Ts
T
s
is the surrounding temperature and k is the substance’s cooling rate.
A liquid substance is heated to 80°C
80
°
C
. Upon removing it from the heat it cools to 60°C
60
°
C
in 15 minutes.
What is the substance’s cooling rate when the surrounding air temperature is 50°C
50
°
C
?
Round the answer to four decimal places.
 
0.0687 <my choice
0.0732
0.0813
0.0872
            
        T
0
, the temperature T(t)
T
(
t
)
after t minutes can be modeled by the equation T(t)=Ts+(T0−Ts)e−kt
T
(
t
)
=
T
s
+
(
T
0
−
T
s
)
e
−
k
t
, where Ts
T
s
is the surrounding temperature and k is the substance’s cooling rate.
A liquid substance is heated to 80°C
80
°
C
. Upon removing it from the heat it cools to 60°C
60
°
C
in 15 minutes.
What is the substance’s cooling rate when the surrounding air temperature is 50°C
50
°
C
?
Round the answer to four decimal places.
0.0687 <my choice
0.0732
0.0813
0.0872
Answers
                    Answered by
            MathMate
            
    Please show your work to find where your calculations went wrong (if applicable).
    
                    Answered by
            Michelle Hicks
            
    Newton’s law of cooling states that for a cooling substance with initial temperature  T0 , the temperature  T(t) after t minutes  can be modeled by the equation  T(t)=Ts+(T0−Ts)e−kt , where  Ts  is the surrounding temperature and k is the substance’s cooling rate.
A liquid substance is heated to 80°C . Upon being removed from the heat, it cools to 60°C in 12 min.
What is the substance’s cooling rate when the surrounding air temperature is 50°C ?
The substances cooling rate when the surrounding air temperature is 50C is 0.0916.
0.0687
0.0732
0.0813
0.0916 <------- Correct answer!!
    
A liquid substance is heated to 80°C . Upon being removed from the heat, it cools to 60°C in 12 min.
What is the substance’s cooling rate when the surrounding air temperature is 50°C ?
The substances cooling rate when the surrounding air temperature is 50C is 0.0916.
0.0687
0.0732
0.0813
0.0916 <------- Correct answer!!
                    Answered by
            Thomas
            
    0.0916 Would be the correct answer to this Question.
I have taken the test and passed with a 100%
Hope this helps.
    
I have taken the test and passed with a 100%
Hope this helps.
                    Answered by
            lynn
            
    if you see the original post says 15 mins not 12 so 0.0916 is not the correct answer or even an option
    
                    Answered by
            Bob
            
    Super man
    
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