Specific Heat Capacity

Two different liquids of same mass are kept in two identical vessel, which are placed in a freezer that extracts heat from them at the same rate causing each liquid to transform into a solid. The schematic figure below shows the temperaure $T$ vs time $t$ plot for the two materials. We denote the specific heat in the liquid states to be $C_{L1}$ and $C_{L2}$ for materials $1$ and $2$ respectively, and latent heats of fusion $U_1$ and $U_2$ respectively.

Choose the correct option.

200 g water is heated from ${40}^{\mathrm{ o}}\mathrm{C}$ to ${60}^{\mathrm{ o}}\mathrm{C}$ . Ignoring the slight expansion of water, the change in its internal energy is close to (Given specific heat of water $=4184$ J/kg/K):

Water is used as a coolant because 

A person weighing $50 \mathrm{kg}$ takes in $1500 \mathrm{kcal}$ diet per day. If this energy were to be used in heating the body of person without any losses, then the rise in his temperature is (specific heat of human body $=0.83 \mathrm{c}\mathrm{a}\mathrm{l}\mathrm{ }{\mathrm{g}}^{-1} {\mathrm{℃}}^{-1}$ )

Amongst object A and B, if the specific heat of object A is less than of object B, then 

The amount of heat required to raise the temperature of $1 \mathrm{kg}$ mass of water through $1 \mathrm{K}$ is called its

The amount of heat required to raise the temperature of $1 \mathrm{kg}$ mass of water through $1 \mathrm{K}$ is called its

A lead bullet strikes a target with a velocity of $480 \mathrm{m} {\mathrm{s}}^{-1}.$ After the impact, the bullet falls dead and the heat produced in the process gets equally shared between the bullet and the target. If the specific heat capacity of lead is $c=0.03 \mathrm{cal} {\mathrm{g}}^{-1}{}^{\circ }\mathrm{C}^{-1},$ then the rise in temperature of the bullet is (Assume that kinetic energy of a bullet is totally converted into heat).

Specific heat of a substance is given by $S=(1+2T) \mathrm{J} {\mathrm{kg}}^{-1} {\mathrm{K}}^{-1}$, find out amount of heat required to raise the temperature of $2 \mathrm{kg}$ substance from $10°\mathrm{C}$ to $20°\mathrm{C}.$

The number of degrees of freedom of a gas whose specific heat capacity at constant pressure is $33.24 \mathrm{J} {\mathrm{mol}}^{-1} {\mathrm{K}}^{-1},$ is
(universal gas constant $=8.31 \mathrm{J} {\mathrm{mol}}^{-1} {\mathrm{K}}^{-1}$ )

The amount of heat required to raise the temperature of $10 \mathrm{g}$ liquid from $0°\mathrm{C}$ to $10°\mathrm{C},$ if its specific heat $\left(in \frac{\text{ cal }}{\mathrm{g}°\mathrm{C}}\right)$ varies with temperature as $0.3{\mathrm{t}}^2$ (where $t$ is temperature in ${}^{\circ }\mathrm{C}$) is

$50 \mathrm{g}$ of steam at $100°\mathrm{C}$ is passed into a large block of ice at $0°\mathrm{C}$ the mass of ice that melts is

$20 \mathrm{gm}$ ice at $-10°\mathrm{C}$ is mixed with $m \mathrm{gm}$ steam at $100°\mathrm{C}$. The minimum value of $\mathrm{m}$ so that finally all ice and steam converts into water is,

(Use, $s_{\text{ice}}=0.5 \mathrm{cal} {\mathrm{gm}}^{-1} °\mathrm{C}\text{,} s_{\text{water}}=1 \mathrm{cal} {\mathrm{gm}}^{-1} °\mathrm{C}$, $L$(melting)$=80 \mathrm{cal} {\mathrm{gm}}^{-1}$ and $L$ (vaporization)$=540 \mathrm{cal} {\mathrm{gm}}^{-1}$.)

Which one of the following would raise the temperature of $20 \mathrm{gm}$ of water at $30°\mathrm{C}$ most, when mixed with:

Which statement is false for specific heat of water?

Two identical bodies are made of a material for which the heat capacity decreases with increase in temperature. One of these is at $100°\mathrm{C}$ while the other one is at $0°\mathrm{C}.$ If the two bodies are brought into contact, then the final common temperature will be-

A mixture of $n_1$ moles of monoatomic gas and $n_2$ moles of diatomic gas has $\gamma =1.5$. Then:

A tap supplies water at $20 °\mathrm{C}$. A man takes $1 \mathrm{litre}$ of water per minute at $35 °\mathrm{C}$ from a geyser connected to the tap. The power of geyser is...(Take $S_{\mathrm{water}}=4200 \mathrm{J} {\mathrm{kg}}^{-1} {\mathrm{K}}^{-1}$)

 The thermal capacity of $200 \mathrm{g}$ of aluminium (specific heat $0.2 \mathrm{cal} {\mathrm{g}}^{-1}{}^{\circ }\mathrm{C}^{-1}$),  is