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Mathematics 18 Online
OpenStudy (anonymous):

A thermometer reading 70 F is placed in an oven preheated to a constant temp. Through the glass window in the oven door, an observer records that the thermometer reads 110 F after .5 mnutes and 145 F after a minute. How hot is the oven

OpenStudy (anonymous):

is this a trick question? if the thermometer reads 145 then presumably that is the temperature

OpenStudy (anonymous):

It takes time to reach equilibrium..

OpenStudy (anonymous):

It's asking the temperature of the oven not the thermometer

OpenStudy (anonymous):

Yeah but doesn't the thermometer show the temperature of the oven?

OpenStudy (anonymous):

The thermometer doesn't show the temperature of the oven until both have reached thermal equilibrium with each other.

OpenStudy (anonymous):

If we assume a constant pattern of increase in temperature over time, I'd say that the final equilibrium temperature would be 255deg., but it might be better to look up the relevant thermal physics formulas to help with this.

OpenStudy (anonymous):

this is DE

OpenStudy (anonymous):

using Newtons law of cooling/heating

OpenStudy (anonymous):

Doesn't Newton's Law also take into account surface area - which we don't know here?

OpenStudy (anonymous):

The given information provides the following: In the first half-minute, the temperature increase was +40deg. In the second half-minute, the temperature increase was +35deg. We can make some simplifying assumptions, and construct a model representing rate of increase in temperature.

OpenStudy (anonymous):

oooooooooooh it is a newton's law of cooling problem?

OpenStudy (anonymous):

yes @satellite73

OpenStudy (anonymous):

#17

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