Newton's Law of Cooling

The quantity of heat required to heat $1$ mole of a mono atomic gas through one degree $\mathrm{K}$ at constant pressure is:

A brass boiler has a base area $0.15{\mathrm{m}}^2$ and thickness $1.0\mathrm{cm}.$ It boils water at the rate of $6.0\mathrm{kg}/\min$ when placed on a gas stove. Estimate the temperature of the part of the flame in contact with the boiler. Thermal conductivity of brass:

A body cools from $80°\mathrm{C}$ to $50°\mathrm{C}$ In 5 minutes. Calculate the time it takes to cool from $60°\mathrm{C}$ to $30°\mathrm{C}$. The temperature of the surroundings is $20°\mathrm{C}$.

It is a valid _____ in the transfer of heat from a radiator to a room, the loss of heat through the wall of a room.

Where k is a positive constant depending upon the area and nature of the surface of the body . 

Certain quantity of water cools from $70 °\mathrm{C}$ to $60 °\mathrm{C}$ in the first 5 minutes and to $54 °\mathrm{C}$ in the next 5 minutes. The temperature of the surroundings is ;

A body cools down from $80 °\mathrm{C}$ to $60 °\mathrm{C}$  in 10 minutes when the temperature of surrounding is $30 °\mathrm{C}$. The temperature of the body after next 10 minutes will be:

The set-up consists of double walled vessel (V) containing water in between the two walls.

Two thermometers through the cork are used to not the temperatures T₂ of water in _____ and T₁ of hot water in between the double walls respectively. 

A pan filled with hot food cools for ${94}^{ }°\mathrm{C}$ to $86 °\mathrm{C}$ in $2$ Minutes when the room temperature is at $20 °\mathrm{C}$. How long will it take to cool from $71 °\mathrm{C}$ to $69 °\mathrm{C}$ ?

Hot water in a vessel kept in a room, cools from $75°\mathrm{C}$ to $70°\mathrm{C}$ in ${\mathrm{t}}_1$ minutes, from   $70°\mathrm{C}$ to $65°\mathrm{C}$ in ${\mathrm{t}}_2$ ​minutes and from $65°\mathrm{C}$ to $60°\mathrm{C}$ in ${\mathrm{t}}_3$ minutes. Then,

A body cools down from $75 °\mathrm{C}$ to $70 °\mathrm{C}$ in time $\left(\Delta t_1\right)$, from $70 °\mathrm{C}$ to $65 °\mathrm{C}$ in time $\left(\Delta t_2\right)$ and $65 °\mathrm{C}$ to $60 °\mathrm{C}$ in time $\left(\Delta t_3\right)$. The correct statement according to Newtons law of cooling is

A body cools from $60°\mathrm{C}$ to $52°\mathrm{C}$ in $10$ minutes and to $46°\mathrm{C}$ in the next $10$ minutes, Find the temperature of surrounding.

A hot metal sphere cools from $60°\mathrm{C}$ to $52°\mathrm{C}$ in $5$ minutes and from $52°\mathrm{C}$ to $44°\mathrm{C}$ in next $7.5$ minutes. Determine its temperature in the next $10$ minutes.

State:

Newton's Law of cooling

A calorimeter of water equivalent $5\times {10}^{-3}\mathrm{kg}$, takes $3 \min$ to cool from ${28}^o\mathrm{C}$ to ${21}^o\mathrm{C}$ having $25\times {10}^{-3}\mathrm{kg}$ of water. It takes $2 \min$ to cool from ${28}^o\mathrm{C}$ to ${21}^o\mathrm{C}$, if it is filled with $30\times {10}^{-3}\mathrm{kg}$ of turpentine oil. Find the specific heat of turpentine oil.

The time required by two liquids to cool from $60 °\mathrm{C}$ to $50 °\mathrm{C}$ is $324 \mathrm{s}$ and $810 \mathrm{s}$, respectively. What is the ratio of densities of these liquids if the ratio of specific heat of both are $3:4$? (water equivalent of the calorimeter is negligible)

Calculate the net rate of radiation loss from a solid cube of side $1 \mathrm{m}$, which has a temperature of ${127}^{\mathrm{o}}\mathrm{C}$ while the ambient temperature is ${27}^{\mathrm{o}}\mathrm{C}$. It is given that the cube has an emissivity of $\frac{1}{5.67}$.

A body cools in a surrounding of constant temperature $30 °\mathrm{C}$. Its heat capacity is $2 \mathrm{J} °{\mathrm{C}}^{-1}$. The initial temperature of the body is $40 °\mathrm{C}$. Assume Newton's law of cooling is valid. The body cools to $36 °\mathrm{C}$ in $10 \min$. In further $10$ $\min$ it will cool from $36 °\mathrm{C}$ to 

Cotyledons are also called-