Discuss the experiment verifying Newton's law of cooling.
Newton's law of cooling can be verified with the help of the experimental setup which consists of a double walled vessel $(V)$ containing water in between the two walls.
A copper calorimeter $(C)$ containing hot water is placed inside the double walled vessel. This calorimeter is closed tightly by cock with two holes.
Two thermometers through the corks are used to note the temperatures $\mathrm{T}_{2}$ of water in calorimeter and $\mathrm{T}_{1}$ of hot water in between the double walls respectively.
Temperature of hot water in the calorimeter is noted after equal intervals of time. A graph is plotted between $\log _{\mathrm{e}}\left(\mathrm{T}_{2}-\mathrm{T}_{1}\right)$ and time $(t) .$ The nature of the graph is observed to be a straight line having a negative slope
It is like $\log _{\mathrm{e}}\left(\mathrm{T}_{2}-\mathrm{T}_{1}\right)=-\mathrm{K} t+\mathrm{C}$ and It is similar to $y=-m x+\mathrm{C}$
On what does the proportionality constant depends given in Newton's law of cooling.
The top of a lake gets frozen at a place where the surrounding air is at a temperature of $-20\,^oC$. Then
A hot body, obeying Newton's law of cooling is cooling down from its peak value $80\,^oC$ to an ambient temperature of $30\,^oC$ . It takes $5\, minutes$ in cooling down from $80\,^oC$ to $40\,^oC$. ........ $\min.$ will it take to cool down from $62\,^oC$ to $32\,^oC$ ? (Given $ln\, 2\, = 0.693, ln\, 5\, = 1.609$)
If a piece of metal is heated to temperature $\theta$ and then allowed to cool in a room which is at temperature $\theta_0$, the graph between the temperature $T$ of the metal and time t will be closest to
Equal masses of two liquids are filled in two similar calorimeters. The rate of cooling will