Difference between revisions of "Heating of a liquid"
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This equation describes how the liquid responds to the heat setting of the stove. In this case, f(t) is the temperature change per minute and t is the time in minutes. | This equation describes how the liquid responds to the heat setting of the stove. In this case, f(t) is the temperature change per minute and t is the time in minutes. | ||
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| + | For this experiment, the amount that the temperature increased from 0 to 5 minutes can be calculated using integrals, which can give total amounts. | ||
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| + | <font size = "+2"><span>∫</span></font>f(t)dt = <font size = "+2"><span>∫</span></font>30e<sup>−0.3t</sup>dt | ||
Revision as of 14:33, 1 April 2021
A liquid with dissolved solids was placed on a stove at a certain setting and the temperature of the liquid was measured over time. The data was graphed (temperature vs time) and the slope for the best fit equation was:
f(t)=30e−0.3t
This equation describes how the liquid responds to the heat setting of the stove. In this case, f(t) is the temperature change per minute and t is the time in minutes.
For this experiment, the amount that the temperature increased from 0 to 5 minutes can be calculated using integrals, which can give total amounts.
∫f(t)dt = ∫30e−0.3tdt
