Today is a chilly day. We heated up a stone to 500^∘ C in a bonfire, then took it out and left i

Name: Problem 6, Chapter 3: CLP-1 Differential Calculus 1
Uploaded: 2021-06-18T08:37:52-08:00
Duration: 2 min 10 s
Channel: Ajay Singhal
Description: Today is a chilly day. We heated up a stone to 500^∘ C in a bonfire, then took it out and left it outside, where the temperature is 0^∘ C. After 10 minutes outside of the bonfire, the stone had cooled to a still-untouchable 100^∘ C. Now the stone is at a cozy 50 ^∘ C. How long ago was the stone taken out of the fire?

step 1 So this question belongs to the thermal properties of matter in which we have given a body cooli

Question

Today is a chilly day. We heated up a stone to $500^{\circ} \mathrm{C}$ in a bonfire, then took it out and left it outside, where the temperature is $0^{\circ} \mathrm{C}$. After 10 minutes outside of the bonfire, the stone had cooled to a still-untouchable $100^{\circ} \mathrm{C}$. Now the stone is at a cozy 50 ${ }^{\circ} \mathrm{C}$. How long ago was the stone taken out of the fire?

   Today is a chilly day. We heated up a stone to $500^{\circ} \mathrm{C}$ in a bonfire, then took it out and left it outside, where the temperature is $0^{\circ} \mathrm{C}$. After 10 minutes outside of the bonfire, the stone had cooled to a still-untouchable $100^{\circ} \mathrm{C}$. Now the stone is at a cozy 50
${ }^{\circ} \mathrm{C}$. How long ago was the stone taken out of the fire?

CLP-1 Differential Calculus 1

Joel Feldman, Andrew… 1st Edition

Chapter 3, Problem 6

Instant Answer

Solved by Expert Ajay Singhal

06/18/2021

Step 1

According to Newton's Law of Cooling, the rate of change of the temperature of an object is proportional to the difference between its temperature and the ambient temperature. Show more…

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Today is a chilly day. We heated up a stone to $500^{\circ} \mathrm{C}$ in a bonfire, then took it out and left it outside, where the temperature is $0^{\circ} \mathrm{C}$. After 10 minutes outside of the bonfire, the stone had cooled to a still-untouchable $100^{\circ} \mathrm{C}$. Now the stone is at a cozy 50 ${ }^{\circ} \mathrm{C}$. How long ago was the stone taken out of the fire?