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 $= 540\, cal\, g^{-1}$]

When $100\,g$ of a liquid $A$ at $100\,^oC$ is added to $50\,g$ of a liquid $B$ at temperature $75\,^oC$, the temperature of the mixture becomes $90\,^oC$. The temperature of the mixture, if $100\,g$ of liquid $A$ at $100\,^oC$ is added to $50\,g$ of liquid $B$ at $50\,^oC$, will be ……..$^oC$

Work done in converting one gram of ice at $-10°C$ into steam at $100°C$ is ……. $J$

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 $\left.=3.5 \times 10^{5} J\,kg ^{-1}\right]$

$150 \,g$ of ice is mixed with $100 \,g$ of water at temperature $80^{\circ} C$. The latent heat of ice is $80 cal / g$ and the specific heat of water is $1 cal / g ^{\circ} C$. Assuming no heat loss to the environment, the amount of ice which does not melt is ……….. $g$