Specific Heat Capacity

Certain amount of heat is given to $100 \mathrm{g}$ of copper to increase its temperature by  $21°\mathrm{C}$ . If the same amount of heat is given to $50 \mathrm{g}$  of water, then the rise in its temperature is
($\mathrm{Specific} \mathrm{heat} \mathrm{capacity} \mathrm{of} \mathrm{copper}$ $=400 \mathrm{J} {\mathrm{kg}}^{-1} {\mathrm{K}}^{-1}$  and that for $\mathrm{water}$ $=4200 \mathrm{J} {\mathrm{kg}}^{-1} {\mathrm{K}}^{-1}$ )

A lead bullet strikes against a steel plate with a velocity $200 \mathrm{m} {\mathrm{s}}^{-1}.$ If the impact is perfectly inelastic and the heat produced is equally shared between the bullet and the target, then the rise in temperature of the bullet is ($\mathrm{specific} \mathrm{heat} \mathrm{capacity} \mathrm{of} \mathrm{lead}$ $=125 \mathrm{J} {\mathrm{kg}}^{-1} {\mathrm{K}}^{-1}$)

Which of the following is used as a coolant in automobile radiator as well as a heater in hot water bags?

A bubble of $n$ mole of helium is submerged at a certain depth in water. The temperature of water increases by $\Delta t°\mathrm{C}$. How much heat is added approximately to helium during expansion?

$4200 \mathrm{J}$ of work is required for

Specific heat capacity of water varies as

The thermal capacity of $40 \mathrm{g}$ of aluminium (specific heat $=0.2 \mathrm{cal} {\mathrm{g}}^{-1}{}^{\circ }\mathrm{C}^{-1}$) is

$80 \mathrm{g}$ of water at $30°\mathrm{C}$  are poured on a large block of ice at $0°\mathrm{C}$. The mass of ice that melts is:

(Specific heat capacity of water is $s=1 \mathrm{cal} {\mathrm{g}}^{-1} °{\mathrm{C}}^{-1}$, Latent heat of the water $L=80 \mathrm{cal} {\mathrm{g}}^{-1} °{\mathrm{C}}^{-1}$)

Steam is passed into $22\mathrm{gm}$  of water at $20°\mathrm{C}$. The mass of water that will be present when the water acquires a temperature of $90°\mathrm{C}$  (Latent heat of steam is $540 \mathrm{cal} {\mathrm{g}}^{-1}$, $s=1 \mathrm{cal} {\mathrm{K}}^{-1} {\mathrm{gm}}^{-1}$ is specific heat capacity,) is