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hulgy
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Homework Statement
Suppose that the temperature of a pan of warm water obeys Newton's law of cooling. The water (47 degrees Celsius) was put in a room and 10 minutes later the water's temperature was 40 degrees Celsius. After another 10 minutes, the temperature of the water was 34 degrees Celsius. Find the room's temperature.
Homework Equations
(H-Hs)=(H0-Hs)ekt
dH/dt = -k(H-Hs)
Hs is the room's temperature
H0 is the initial temperature of the water
H is the temperature of the water at time t
The Attempt at a Solution
I'm rather at a loss at how to do this problem. I've tried setting up a system of equations and tried finding the room temperature, but that doesn't work out. So if algebra won't do it, then I'm assuming something calculus-y should. I'm just at a lost as what that is.
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