Specific Heat Capacity

 A heater melts $0°\mathrm{C}$ ice in a bucket completely into water in $6$ minutes and then evaporates all that water into steam in$47$ minutes $30$ sec. If latent heat of fusion of ice is $80 \mathrm{cal} {\mathrm{g}}^{-1}$, latent heat of steam will be (specific heat of water is $1\mathrm{cal} {\mathrm{g}}^{-1}{ }^{\circ }{\mathrm{C}}^{-1}$)?

A metal cube absorbs $2100.0 \mathrm{J}$ of heat when its temperature is raised by $2 °\mathrm{C}$. If the specific heat of the metal is $900 \mathrm{J} {\mathrm{kg}}^{-1} {\mathrm{K}}^{-1}$, then the mass of the cube is

An immersion heater is rated $836 \mathrm{W}$. It should heat $1$ litre of water from $10°\mathrm{C}$ to $40°\mathrm{C}$ in about. (Specific heat of water is $1 \mathrm{cal} {\mathrm{g}}^{-1} °{\mathrm{C}}^{-1}$, density of water is $1 \mathrm{g} {\mathrm{cm}}^{-3}$)

The volume of $n$ moles of an ideal gas with degree of freedom $f$ is varied according to the law $V=\frac{a}{T}$ where $a$ is a constant. The molar specific heat of the gas at constant pressure is

For the process to occur under adiabatic conditions, the correct condition is:

If $2000 \mathrm{J}$ of heat is supplied to gas at a pressure of $1.2 \times {10}^5 \mathrm{Pa}$, its volume increases from $2 \mathrm{l}$ to $7 \mathrm{l}$. Calculate the change in its internal energy.

A diatomic gas expands from $(V_0, \mathrm{2}{P}_0)$ to $(\mathrm{2}{ V}_0, P_0)$ as shown in the P-V graph. For this process choose the correct statement

The piston is massless and the spring is ideal and initially streched the piston cylinder arrangement encloses an ideal gas. If the gas is heated quasistatically the $PV$ graph.

An ideal diatomic gas of $n$ moles and with initial pressure $P$ and volume $V$ undergoes a thermodynamic process. In this process the pressure is directly proportional to volume and the rms speed of the molecules is doubled. Then, the amount of heat required in this process is

At a given temperature, the specific heat of a gas at constant pressure is always greater than its specific heat at constant volume.

Molar specific heat at constant pressure $C_P$ is related to internal energy $U$ and absolute temperature $T$ as $C_P=$________

$C_p-C_v=\frac{R}{M}$ and $C_v$ are specific heats at constant pressure and constant volume respectively. It is observed that, $C_p-C_v=a$ for hydrogen gas and $C_p-C_v=b$ for nitrogen gas. The correct relation between $a$ and $b$ is:

Assertion: The specific heat at constant pressure is greater than the specific heat at constant volume i.e., $C_P > C_V$ .

Reason: In case of specific heat at constant volume, the whole of heat supplied is used to raise the temperature of one mole of the gas through $1°C$ while in case of specific of heat at constant pressure, heat is to be supplied not only for heating 1 mole of gas through $1°C$ but also for doing work during expansion of the gas.

If ${\mathrm{S}}_{\mathrm{P}}$ and ${\mathrm{S}}_{\mathrm{V}}$ denote the specific heats of nitrogen gas per unit mass at constant pressure and constant volume respectively, then

The amount of heat required to raise the temperature of $1 \mathrm{kg}$ mass of water through $1 \mathrm{K}$ is called its

One gram mole of an ideal gas $A$ with the ratio of constant pressure and constant volume specific heats ${\gamma }_A=\frac{5}{3}$ is mixed with $n$ gram moles of another ideal gas $B$ with ${\gamma }_B=\frac{7}{5}$. If the $\gamma$ for the mixture is $\frac{19}{13}$, then what will be the value of $n$?

Specific heat of an ideal gas at constant volume $C_v$ and at constant pressure $C_p$ are related to universal gas constant are as

 One mole of $\mathrm{a}$ an ideal gas is heated at constant pressure through $1\mathrm{K}$work done by the gas is

An ideal monatomic gas is carried along the cycle $ABCDA$ as shown in the figure. The total heat absorbed in this process is

A copper wire $2 \mathrm{m}$ long is stretched by $1 \mathrm{mm}$. If the energy stored in the stretched wire is converted to heat, calculate the rise in temperature of the wire. (Given: $Y=12\times {10}^{11}$ $dyne {\mathrm{cm}}^{-2}$, Density of copper $=9 \mathrm{g} {\mathrm{cm}}^{-3}$ and Specific heat of copper $=0.1$ $cal\left.g^{-1} {}^{\circ }C^{-1}\right):$