Steam at $100\,^oC$ is passed into $20\, g$ of water at $10\,^oC$. When water acquires a temperature of $80\,^oC$, the mass of water present will be …….. $g$

[Take specific heat of water $= 1\, cal\, g^{-1}\,^oC^{-1}$ and latent heat of steam $= 540\, cal\, g^{-1}$]

$50 \,gm$ ice at $0°C$ in insulator vessel, $50g$ water of $100°C$ is mixed in it, then final temperature of the mixture is (neglect the heat loss)

The specific heat of a metal at low temperatures varies according to $S = aT^3$ where a is a constant and $T$ is the absolute temperature. The heat energy needed to raise unit mass of the metal from $T = 1 K$ to $T = 2 K$ is

A block of ice of mass $120\,g$ at temperature $0^{\circ} C$ is put in $300\,gm$ of water at $25^{\circ} C$. The $xg$ of ice melts as the temperature of the water reaches $0^{\circ} C$. The value of $x$ is

[Use: Specific heat capacity of water $=4200$

$J\,kg ^{-1} K ^{-1}$, Latent heat of ice $\left.=3.5 \times 10^{5} J\,kg ^{-1}\right]$

$300 \,gm$ of water at $25^{\circ} C$ is added to $100 \,gm$ of ice at $0^{\circ} C$. The final temperature of the mixture is ……….. $^{\circ} C$