Calorimetry

$2 \mathrm{kg}$ water at $100°\mathrm{C}$ and $2.5 \mathrm{kg}$ water at $50°\mathrm{C}$ is kept in two identical containers $A$ and $B$ respectively of water equivalent $0.5 \mathrm{kg}.$ In two independent experiments, if water of container $A$ is poured into container $B$ the final temperature of mixture is $T_1$ and if water of container $B$ is poured into container $A$ the final temperature is $T_2.$ (heat loss is negligible). Mark the CORRECT option(s).

If $30 \mathrm{g}$ ice at $-20°\mathrm{C}, 65 \mathrm{g}$ water at $50°\mathrm{C}$ and $5 \mathrm{g}$ steam at $100°\mathrm{C}$ are mixed in a container which have negligible heat capacity. [Specific heat of ice $=0.5\mathrm{cal} {\mathrm{g}}^{-1}{}^{\circ }C,$ specific heat of water $=1\mathrm{cal} {\mathrm{g}}^{-1}{}^{\circ }\mathrm{C}, L_{\mathit{f}}=80\mathrm{cal} {\mathrm{g}}^{-1},L_{\mathit{v}}=540\mathrm{cal} {\mathrm{g}}^{-1}]$ then :-

Four identical rods which have thermally insulated lateral surfaces are joined at point $A$. Points $B,C,D\&E$ are connected to large reservoirs. If heat flows into the junction from point $B$ at rate of $1 \mathrm{W}$ and from point $C$ at $3 \mathrm{W}$ inside, flows out from $D$ at $5 \mathrm{W}$, which relation(s) is/ are correct for temperature of these points ?

Initially, a beaker has $100 \mathrm{g}$ of water at temperature $90 °\mathrm{C}$. Later another $600 \mathrm{g}$ of water at temperature $20 °\mathrm{C}$ was poured into the beaker. The temperature, $T\left(\text{in} °\mathrm{C}\right)$ of the water after mixing is

A thermally insulated vessel contains some water at $0°\mathrm{C}$. The vessel is connected to a vacuum pump to pump out water vapour. This results in some water getting frozen. It is given latent heat of vaporization of water at $0°\mathrm{C}=21\times {10}^5 \mathrm{J}/\mathrm{kg}$ and latent heat of freezing of water $=3.36\times {10}^5 \mathrm{J}/\mathrm{kg}$. The maximum percentage amount of water that will be solidified in this manner will be:-

Initially, a beaker has $100 \mathrm{g}$ of water at temperature $90 °\mathrm{C}$. Later another $600 \mathrm{g}$ of water at temperature $20 °\mathrm{C}$ was poured into the beaker. The temperature, $T$ of the water after mixing is

Three containers $C_1, C_2$ and $C_3$ have water at different temperatures. The table below shows the final temperature $T$ when different amounts of water (given in liters) are taken from each container and mixed (assume no loss of heat during the process)

The value of $\theta$ (in ${}^{\circ }\mathrm{C}$ to the nearest integer) is .....................

Calorie is the unit of which physical quantity?

$1 \mathrm{cal}=$_____ $\mathrm{J}$

Calorie is the unit of which physical quantity?

SI unit of heat is kelvin and SI unit of temperature is joule.

What is the SI unit of heat?

One calorie is nearly equal to _____ $\mathrm{J}$.

Find the final temperature in the form $2x°\mathrm{C}$ of the system when $5 \mathrm{gm}$ steam at $100°\mathrm{C}$ is mixed with $31.50 \mathrm{gm}$ ice at $-20°\mathrm{C}.$ Take $S_{\mathrm{ice}}=S_{\mathrm{steam} }=0.5 \mathrm{cal} {\mathrm{gm}}^{-1} °{\mathrm{C}}^{-1}, S_{water }=1 \mathrm{cal} {\mathrm{gm}}^{-1} °{\mathrm{C}}^{-1}$ and the latent heat of fusion and vaporization as $80 \mathrm{cal} {\mathrm{gm}}^{-1}$ and $540 \mathrm{cal} {\mathrm{gm}}^{-1}$ respectively. Find the value of $x$.

A heater supplying constant power $P$ watts is switched ON at time $t=0 \min$ to raise the temperature of a liquid kept in a calorimeter of negligible heat capacity. A student records the temperature of the liquid $T\left(t\right)$ at equal time intervals. A graph is plotted with $T\left(t\right)$ on the $Y$-axis versus $t$ on the $X$-axis. Assume that there is no heat loss to the surroundings during heating. Then,

Steam at $100 °\mathrm{C}$ is passed into $1 \mathrm{kg}$ of water contained in a calorimeter at $9 °\mathrm{C}$ till the temperature of water and calorimeter is increased to $90 °\mathrm{C}$. The mass of the stean condensed is nearly
(Water equivalent of calorimeter $=0.1 \mathrm{kg}$ Specific heat of water $=1 \mathrm{cal} {\mathrm{g}}^{-1} °{\mathrm{C}}^{-1}$ Latent heat of vapourisation $=540 \mathrm{cal} {\mathrm{g}}^{-1}$)

An electrically heated coil is immersed in a $Q$ calorimeter containing $360 \mathrm{gm}$ of water at $10°\mathrm{C}$. The coil consumes energy at the rate of $90 \mathrm{W}$. The water equivalent of calorimeter & coil is $40 \mathrm{gm}.$ The temperature of water after $10$$\min$ is-

If $x \mathrm{gm}$ of steam at $100°\mathrm{C}$ becomes water at $100°\mathrm{C}$ which converts $y \mathrm{gm}$ of ice at $0°\mathrm{C}$ into water at $100°\mathrm{C}$, then the ratio $\frac{x}{y}$ will be,

Two tank $A$ and $B$ contain water at $20°\mathrm{C}$ and $80°\mathrm{C}$ respectively. The amount of water that must be taken from $A$ and $B$ to prepare $40 \mathrm{kg}$ of water at $50°\mathrm{C}:$

Calculate the amount of heat (in calories) required to convert $6 \mathrm{gm}$ of ice at $0°\mathrm{C}$ to steam at $100°\mathrm{C}.$