# Are there any circumstances in which CP CV can be negative?

This shows that, Cp can drop below CV if isobaric volume coefficient of expansion becomes negative which is the case in the mechanical instability region.

## What is CVM in chemistry?

CVM stands for molar heat capacity at constant volume. The molar heat capacity is the energy required to increase the temperature of one mole of a substance by one degree. The temperature is measured in either Kelvin or Celsius.

## Can CP be less than CV?

Because work is done to the contracting water, less heat is required to increase the water temperature in an isobaric process than in an isochoric process. Therefore, CP is less than CV.

## Can CP ever be less than CV if so give an example?

Under constant volume, all heat goes into internal energy. In this example, water contracts upon heating, so if we add heat at constant pressure, work is done on the water by surroundings and therefore, CP is less than CV”.

## Can specific heat capacity be negative?

Solution : Yes, negative specific heat will imply that with rise in temperature ( `Delta T` is +ve) heat will be released (Q is –ve). This actually happens in case of saturated vapour i.e., specific heat of saturated vapour is negative.

## Can the value of the specific heat capacity be negative?

No they cannot be negative. Heat capacity is how much energy has to be gained to raise a substance’s temperature by a certain amount. This is endothermic and therefore must be positive.

## What is CVM thermodynamics?

For a phase containing a pure substance, the molar heat capacity at constant volume is defined by \(\CVm \defn C_V/n\). \(\CVm\) is an intensive property. If the system is an ideal gas, its internal energy depends only on \(T\), regardless of whether \(V\) is constant, and Eq. 5.6.

## Why CPM is higher than CVM?

Cp is greater than the molar specific heat at constant volume Cv because energy must now be supplied not only to raise the temperature of the gas but also for the gas to do work.

## For which of the following ideal gas CVM is independent of temperature?

D) SO2. Hint:For monoatomic gas, \$C_v,m\$ is independent of temperature. Monatomic gas is the gas having only one atom.

## Is CP is always greater than Cv?

>>Cp is always greater than Cv for a gas.

## Is CP higher than Cv?

The heat capacity at constant pressure CP is greater than the heat capacity at constant volume CV , because when heat is added at constant pressure, the substance expands and work.

## Which one is greater CP or Cv?

Hence, Cp is greater than Cv.

## Does CV depend on temperature?

It doesn’t depend on temperature, i.e, it is independent of temperature.

## What are limitations of first law of thermodynamics?

The limitation of the first law of thermodynamics is that it does not say anything about the direction of flow of heat. It does not say anything whether the process is a spontaneous process or not. The reverse process is not possible. In actual practice, the heat doesn’t convert completely into work.

## What is the relationship between CP and CV for real gases?

Relationship Between CV and CP R is equal to CP – CV. In this equation, r denotes the universal gas constant. The ratio between CP and CV is the specific heat ratio, γ.

## Is heat capacity always positive?

Yes, heat capacity always has a positive value. It is the amount of energy (heat) required to raise the temperature of the system.

## What does it mean if Q is negative?

q is negative if it is exothermic or releasing heat. q is positive when it is endothermic and takes in heat.

## What does a negative heat value mean?

When heat is absorbed from the solution q for the solution has a negative value. This means that the reaction absorbs heat fron the solution, the reaction is endothermic, and q for the reaction is positive.

## Which of the following has negative specific heat capacity?

Solution : Specific heat of saturated vapours is negative.

## Can specific heat of a gas be zero or infinity can specific heat be negative?

Molar specific heat capacity of a gas can be negative, positive or zero.

## Can heat capacity be zero?

Zero heat capacity means an infinitesimally small amount of energy will increase the temperature by an infinitely large amount. An object has a non-zero heat capacity because it has internal degrees of freedom that it can channel absorbed energy into. The more internal degrees of freedom the higher the heat capacity.

## Is heat capacity equal to entropy?

Heat capacity is the rate of change of entropy with temperature. Entropy is calculated as the cumulative filling of energy destinations between absolute zero (motionless) and a given temperature.

## What is CV for an ideal gas?

The molar specific heat capacity of a gas at constant volume (Cv) is the amount of heat required to raise the temperature of 1 mol of the gas by 1 °C at the constant volume. Its value for monatomic ideal gas is 3R/2 and the value for diatomic ideal gas is 5R/2.

## What is the value for constant pressure?

The value of R at atm that is at standard atmospheric pressure is R = 8.3144598 J.

## Why does Cv increase with temperature?

If it is a molecular gas, increasing temperature enables vibrational degrees of freedom, so that Cvm increases.