Specific Heat Capacity and Molar Heat Capacity

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio $\frac{C_{\mathrm{P}}}{C_{\mathrm{V}}}$  for the gas is $\frac{x}{2}$. Find $x$.

The SI unit of specific heat is $\raisebox{1ex}{$\mathrm{J}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{kg} \mathrm{K}$}\right.$.

Amongst object A and B, if the specific heat of object A is less than of object B, then 

The specific heat capacity of any substance is the amount of heat required to raise the temperature of one unit substance by hundred degree.

The amount of heat required to increase the temperature of one kilogram of a material, by $1 °\mathrm{C}$ is called latent heat.

A cube of lead of $500 \mathrm{g}$ at $25 °\mathrm{C}$ is supplied with a $3225 \mathrm{J}$ heat. Find the final temperature (in degree Celsius) of the lead cube. (Take, specific heat of lead is $0.129 \raisebox{1ex}{$\mathrm{J}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{g} °\mathrm{C}$}\right.$) 

Calculate the heat energy (in joules) to raise the temperature of $5 \mathrm{kg}$ of water from $20 °\mathrm{C}$ to $100 °\mathrm{C}$. (Take specific heat of water, $s_w=4.2\times {10}^3 \mathrm{J} {\mathrm{kg}}^{-1} {\mathrm{K}}^{-1}$)

If an ideal diatomic gas follows the process as shown in graph, where $T$ is temperature in $\mathrm{kelvin}$ and $V$ is volume in ${\mathrm{m}}^3$, then molar heat capacity for this process will be [in terms of gas constant $R$],

The number of degrees of freedom of a gas whose specific heat capacity at constant pressure is $33.24 \mathrm{J} {\mathrm{mol}}^{-1} {\mathrm{K}}^{-1},$ is
(universal gas constant $=8.31 \mathrm{J} {\mathrm{mol}}^{-1} {\mathrm{K}}^{-1}$ )

The ends of a uniform metal rod of length $100 \mathrm{cm}$ and area of cross-section $2 {\mathrm{cm}}^2$ are maintained at $0 °\mathrm{C}$ and $100 °\mathrm{C}$. At the mid-point of the rod, heat is supplied at a constant rate of $40 \mathrm{J} {\mathrm{s}}^{-1}$. If the temperature gradient on the higher temperature side of the rod in steady state is $50x °\mathrm{C} {\mathrm{m}}^{-1}$, then the value of $x$ is (Thermal conductivity of the metal $=400 \mathrm{J} {\mathrm{s}}^{-1} {\mathrm{m}}^{-1} {\mathrm{K}}^{-1}$)

What is the SI unit of heat?

Define heat. What is its SI unit?

For next 2 question please follow the same

Molar heat capacity of an ideal gas in the process $P{V}^x =$ constant is given by

             $\text{C}=\frac{\text{R}}{\text{γ}-1}+\frac{\text{R}}{1-\text{x}}$

An ideal diatomic gas with ${\text{C}}_{\text{V}}=\frac{5\text{R}}{2}$  occupies a volume V₁ at a pressure P₁ . The gas undergoes a process in which the pressure is proportional to the volume. At the end of the process the rms speed of the gas molecules has doubled from its initial value.

The molar heat capacity of the gas in the given process is

Specific heat capacity of a substance depends on the mass of the substance. 

The amount of heat required to raise the temperature of the whole substance through $1 {}^{\mathrm{o}}\mathrm{C}$ is called the _____. (heat capacity/specific heat capacity)

Find the heat energy released from the liquid in cooling $0.2$ kg of liquid from $135 °C$ to $25°C$. While the specific heat of the liquid is $750$ joule/kg $°C$.

To increase the temperature of $0.2$ kg of fluid from $20°C$ to $70°C$ $700$ calories of heat are required. Find the specific heat of the liquid.

a. in calories

b. in joules.

Mass of same material of two solids is $2 \mathrm{kg}$ and $4 \mathrm{kg}$ respectively. Whose temperature will increase more after heating.

 How many joule is equal to $5$ calorie?