Heat

Specific heat capacity is defined as the amount of heat required to raise the temperature of a substance by $1 \mathrm{K}$ or $1°\mathrm{C}$.

To what temperature in $°\mathrm{C}$ will $250 \mathrm{g}$ of mercury rise from an initial temperature of $10 °\mathrm{C}$, if $5.425\times {10}^3$ joules of heat energy is transferred into the system? The specific heat capacity of mercury is $140 \mathrm{J} {\mathrm{kg}}^{-1} {\mathrm{K}}^{-1}$.

A $20 \mathrm{g}$ piece of iron absorbs $1251.2 \mathrm{J}$ of heat energy and its temperature changes from $25 °\mathrm{C}$ to $161 °\mathrm{C}$. Calculate the specific heat capacity of iron.

The temperature of a $4.0 \mathrm{g}$ block of pure aluminium increases from $25{ }^{\mathrm{o}}\mathrm{C}$ to $45{ }^{\mathrm{o}}\mathrm{C}$. If the specific heat capacity of aluminium is $900 \mathrm{J} {\mathrm{kg}}^{-1} {\mathrm{K}}^{-1}$, calculate the amount of energy required in joules for this temperature increase.

It takes $2,100 \mathrm{J}$ to heat $500 \mathrm{gm}$ of water by $1 \mathrm{K}$ (or by $1^{ \mathrm{o}}\mathrm{C}$). How much energy does it take to raise the temperature of $2 \mathrm{kg}$ of copper by $0.5 \mathrm{K}$?

Convert $33 °\mathrm{C}$  to kelvin to nearest integer.

Convert $-48 °\mathrm{C}$  to kelvin to nearest integer.

The temperature of a steel rod is $330 \mathrm{K}$. Its temperature in $°\mathrm{C}$ is _____.

In the given diagram, the possible direction of heat energy transformation is

Two spheres of the same material have radii $1$ $\mathrm{m}$ and $4 \mathrm{m}$ and temperatures $4000 \mathrm{K}$ and $2000 \mathrm{K}$ respectively. Find ratio of the energy radiated per second by the first sphere to that by the second is.

Write the unit in words for the following symbol: $°\mathrm{C}$.

Heat always travels from cooler area to the warmer one.

In Fahrenheit scale, the lowest fixed point is taken as _____${}^0\mathrm{F}$.

The rate of heat loss at $t=600$ sec after the heater is switched off (as in table- $2$) is

By varying the voltage applied to the kettle, you can change power consumption $P$. Depending on the $P$ of kettle, water can be heated to different maximum temperatures. This dependence is shown in table.

If the power consumption is $400 \mathrm{W}$

Write the symbol for the following unit: Degree Celsius

A steel drill making $180\mathrm{r}\mathrm{p}\mathrm{m}$ is used to drill a hole in a block of steel. The mass of steel block and the drill is $180\mathrm{g}\mathrm{m}$ each. The entire mechanical work is used up in producing heat such that the rate of rise of temperature of the system is $0.5°\mathrm{C}/\mathrm{s}\mathrm{e}\mathrm{c}$. If $\tau$ is the couple required to drive the drill then, find its value in SI units.
$(C_{steel}=0.10\mathrm{c}\mathrm{a}\mathrm{l}/\mathrm{g}\mathrm{m}–°\mathrm{C},\mathrm{J}=4.186)$

A certain bullet of mass $6\mathrm{g}\mathrm{m}$ melts at ${300}^{\mathrm{o}}\mathrm{C}$ and has specific heat as $0.20\mathrm{K}\mathrm{c}\mathrm{a}\mathrm{l}/\mathrm{k}\mathrm{g}\mathrm{℃}$ and a heat fusion of $\frac{15\mathrm{k}\mathrm{c}\mathrm{a}\mathrm{l}}{\mathrm{k}\mathrm{g}}$. The heat needed to melt the bullet if it was originally at $0^{\mathrm{o}}\mathrm{C}$, can be written as $\lambda \mathrm{k}\mathrm{J}$. Then the value of $\lambda$ is. $\left(\mathrm{J}=4\right)$

Specific heat of a substance varies with absolute temperature as s $={\mathrm{B} \mathrm{T}}^2 \mathrm{J}/\mathrm{k}\mathrm{g}–\mathrm{K}$ where
$\mathrm{B}=\frac{3\mathrm{J}}{\mathrm{k}\mathrm{g}-{\mathrm{K}}^3}$ The amount of heat required to raise the temperature of $3 \mathrm{k}\mathrm{g}$ substance from $0 \mathrm{K}$ to $10 \mathrm{K}$ can be written as $\mathrm{\lambda }\times {10}^{\mathrm{n}} \mathrm{J}$. Find the value of $\lambda$, where $\lambda$ and $n$ are integers.

A cube of iron (density $=8000 \mathrm{k}\mathrm{g}/{\mathrm{m}}^3$, ${\mathrm{s}}_{\mathrm{i}\mathrm{r}\mathrm{o}\mathrm{n}}=470 \mathrm{J}/\mathrm{k}\mathrm{g}–\mathrm{K}$) is heated to a high temperature and is placed on a large block of ice at $0^{\mathrm{o}}\mathrm{C}$. The cube melts the ice below it, displaces the water and sinks. In the final equilibrium position, its upper surface just goes inside the ice. If the initial temperature of block is $10\lambda$ then find the value of $\lambda$. ${\mathrm{d}}_{\mathrm{i}\mathrm{c}\mathrm{e}}=900 \mathrm{k}\mathrm{g}/{\mathrm{m}}^3, {\mathrm{L}}_{\mathrm{f}}=3.34\times {10}^5 \mathrm{J}/\mathrm{k}\mathrm{g}$.