$5 \text{ g}$ of steam at $100^{\circ} \text{C}$ is mixed with $5 \text{ g}$ of ice at $0^{\circ} \text{C}$. What is the final temperature of the mixture (in $^{\circ} \text{C}$)?

Water of volume $2\, L$ in a container is heated with a coil of $1\, kW$ at $27 \,^{\circ}C$. The lid of the container is open and energy dissipates at a rate of $160\, J/s$. In how much time will the temperature rise from $27\,^{\circ}C$ to $77\,^{\circ}C$? [Given: specific heat of water is $4.2\, kJ/(kg \cdot K)$]

Match the following List-$I$ with List-$II$.

List-$I$	List-$II$
$A$. When ice melts into water	$I$. Volume increases
$B$. When water changes into steam	$II$. Volume decreases
$C$. Melting point of ice	$III$. Increases with increase of pressure
$D$. Boiling point of water	$IV$. Decreases with increase in pressure

How much energy will be released by cooling $1\,kg$ of water up to a temperature of $10\,^{\circ}C$?

$A$ piece of ice (heat capacity = $2100 \text{ J kg}^{-1} \text{ }^\circ\text{C}^{-1}$ and latent heat = $3.36 \times 10^5 \ J kg^{-1}$) of mass $m$ grams is at $-5^oC$ at atmospheric pressure. It is given $420 \ J$ of heat so that the ice starts melting. Finally, when the ice-water mixture is in equilibrium, it is found that $1 \ gm$ of ice has melted. Assuming there is no other heat exchange in the process, the value of $m$ is ...... $gm$.

$ 1 \text{ g} $ of ice is mixed with $ 1 \text{ g} $ of steam. At thermal equilibrium,the temperature of the mixture is (in $^{\circ} C$)