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 $x$.

What is the SI unit of heat?

Define heat. What is its SI unit?

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.

It is known that the universal gas constant $R$ is $n$ times $C_p$ (molar heat capacity at constant pressure) for an ideal monatomic gas. What is the value of $n$ here?

Specific heat of a solid depends on which of the following factors?

$M \mathrm{kg}$ of water at $t{ }^{\mathrm{o}}\mathrm{C}$ is divided into two parts so that one part of mass $m \mathrm{kg}$ when converted into ice at $0{ }^{\mathrm{o}}\mathrm{C}$ would release enough heat to vapourise the other part, then $\frac{m}{M}$ is equal to
$\left[\begin{array}{c}Specific heat to water=1 \mathrm{cal}\mathrm{ }{\mathrm{g}}^{-1}{\mathrm{ }}^{\mathrm{o}}{\mathrm{C}}^{-1}\\ Latent heat of fusion of ice=80 \mathrm{cal}\mathrm{ }{\mathrm{g}}^{-1},\\ Latent heat of steam=540 \mathrm{cal}\mathrm{ }{\mathrm{g}}^{-1}\end{array}\right]$

Three liquids with masses $m_1, m_2, m_3$ are thoroughly mixed. If their specific heats are $c_1, c_2, c_3$ and their temperatures $T_1, T_2, T_3$ respectively, then the temperature of the mixture is

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