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2 years ago

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Answer the following questions using complete sentences.

1 answer:

Hunter-Best [27]2 years ago

8 0

not sure, you stumped me

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Newton’s law of cooling states that for a cooling substance with initial temperature t0, the temperature t(t) after t minutes ca

antoniya [11.8K]

The cooling rate of the substance is approximately 0.0732.

According to the statement, the Newton's law of cooling is defined by the following formula:

$T(t) = T_{s} + (T_{o}-T_{s})\cdot e^{-k\cdot t}$ (1)

Where:

$T_{s}$ - Final temperature, in degrees Celsius.
$T_{o}$ - Initial temperature, in degrees Celsius.
$t$ - Time, in minutes.
$k$ - Cooling rate, in $\frac{1}{min}$ .
$T(t)$ - Current temperature, in degrees Celsius.

Please notice that substance reaches thermal equilibrium when $T(t) = T_{s}$ , that is when temperature of the substance is equal to the temperature of surrounding air.

If we know that $T_{o} = 80\,^{\circ}C$ , $t = 15\,min$ , $T_{s} = 50\,^{\circ}C$ and $T(15) = 60\,^{\circ}C$ , then the cooling rate of the substance is:

$60 = 50 + (80 - 50)\cdot e^{-15\cdot k}$

$\frac{60-50}{80-50}= e^{-15\cdot k}$

$\frac{1}{3} = e^{-15\cdot k}$

$k = -\frac{1}{15}\cdot \ln \frac{1}{3}$

$k \approx 0.0732$

The cooling rate of the substance is approximately 0.0732.

To learn more on Newton's law of cooling, we kindly invite to check this verified question: brainly.com/question/13748261

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snow_lady [41]

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ha? ano po yan noodles?

#carryonlearning

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hehehehehe the answer hope you are doing well and your family are doing homework faster than you

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