# Which of the following is virial equation of state?

**Asked by: Merl Larkin**

Score: 4.1/5 (5 votes)

Dieterici's equation of state is **P⋅ea/VRT(v−b)=RT**, where V is the molar volume of gas.

Simply so, What is the virial equation of state?

Virial equations of state are infinite-series expansions of the compressibility Zf as a function either of the density or pressure. The pressure series may be written as:

**[26]**

**= 1 + B P R T + ( C − B 2 ) ( R T 2 ) P 2 +**…

Likewise, people ask, Which of the following is virial equation of state 1 point?. Explanation: Virial equation is

**PV = RT (1 + 1/V + 1/V**, which is a geometric progression.

^{2}+ 1/V^{3}+ – – – – -)Furthermore, What is meant by virial equation?

**An equation of state of gases that has additional terms beyond that for an ideal gas**, which account for the interactions between the molecules. In the equation the virial coefficients B

_{n}(T) are functions only of the temperature and depend on the nature of the gas. ...

Where did the virial equation of state for 2nd virial coefficient come from how was it derived from the original virial equation of state?

The virial equation can be derived from

**statistical mechanics through the expression of the partition function**and is of theoretical interest. The coefficients can be related to intermolecular forces: B(T) accounts for two body interactions, and C(T) for three body interactions.

**34 related questions found**

### What is the virial equation of state used for?

The virial Equation of state is **a model that attempts to describe the properties of a real gas**. If it were a perfect model, the virial Equation would give results identical to those of the perfect gas law as the pressure of a gas sample approached zero.

### What is truncated virial equation of state?

The next universal and theoretically sound EoS is the virial equation of state truncated at the second virial coefficient, given by **PV/RT=1+B _{m}/V**, where B

_{m}designates the second virial coefficient of a mixture. ... Virial coefficients are known or can be reliably estimated for many pure gases.

### How is virial calculated?

The actual behavior is often described with the virial equation: **PV = nRT[1 + B(n/V) + C(n/V) ^{2} + ...]** , in which the temperature-dependent constants for each gas are known as the virial coefficients. The second virial coefficient, B , has units of molar volume (L/mole).

### What is virial pressure?

The pressure is usually calculated in a computer simulation via the virial theorem of Clausius. The virial is defined as the expectation value of the sum of the products of the coordinates of the particles and the forces acting on them. ... The virial theorem states that **the virial is equal to –3NkgT.**

### What is dieterici equation?

An equation of state for a gas of the form P**(V – b)[exp (a/VRT)] = RT**,where P is the pressure, V is the volume, T is the thermodynamic temperature, R is the gas constant, and a and b are constants characteristic of the gas.

### What is meant by the virtual equation of state?

From SklogWiki. The virial equation of state is used to **describe the behavior of diluted gases**. It is usually written as an expansion of the compressibility factor, , in terms of either the density or the pressure.

### What is a state equation in chemistry?

An equation of state is **an expression relating the density of a fluid with its temperature and pressure**. Note that the density is related to the number of moles and the volume, so it takes care of these two variables together.

### What is third virial coefficient?

As the density increases, the contribution from the third virial coefficient C(T) becomes significant. B(T) is a function only of the interactions between pairs of molecules, while C(T) is determined by interactions among three molecules.

### What is the ideal gas equation of state?

For ideal gas, the equation of states is **PV equal to nRT**. It is a result of combination of Boyle's and Charles's laws. Boyle's law states that at constant temperature, pressure is inversely proportional to volume. In other words, PV product is constant.

### What is Wonderwall equation of state?

Key Points. The van der Waals equation is an equation of state that corrects for two properties of real gases: the excluded volume of gas particles and attractive forces between gas molecules. The van der Waals equation is frequently presented as: **(P+an2V2)(V−nb)=nRT ( P + a n 2 V 2 ) ( V − n b ) = n R T .**

### What is Boyle point?

Boyle's temperature or Boyle point is **the temperature at which a real gas starts behaving like an ideal gas over a particular range of pressure**. A graph is plotted between the compressibility factor Z and pressure P.

### What are the major findings of virial equations of state?

This is the virial equation of state, the most general function relating P, ρ, and T properties of fluids, first proposed by Kamerlingh Onnes. The **compressibility factor** is a dimensionless quantity, indicating how much a real fluid deviates from an ideal gas.

### What is the meaning of virial?

: **half the product of the stress due to the attraction or repulsion between two particles in space times** the distance between them or in the case of more than two particles half the sum of such products taken for the entire system.

### What is a pressure tensor?

The pressure field tensor is **an antisymmetric tensor describing the pressure field and consisting of six components**. Tensor components are at the same time components of the two three-dimensional vectors – pressure field strength and the solenoidal pressure vector. ... Pressure field is a component of general field.

### What is meaning of virial coefficient?

: **one of the coefficients in a series of terms involving inverse powers of specific volume whose sum represents the product of specific volume by pressure for a pure gas useful** form of the equation of state of a real gas is pv = A + B/v + C/v^{2} + …, where A, B, C, etc.

### What is Berthelot's equation?

It is given by:**PV=RT[1+9PT _{c}(1−6T _{c}^{2}/T ^{2})/128P _{c} T]**, where P is the pressure, V is the volume, R is the gas constant, T is the thermodynamic temperature, and T

_{c}and P

_{c}are the critical temperature and pressure of the gas. The Berthelot equation can be derived from the Clapeyron-Clausius equation.

### What is Kay's rule?

Kay's Rule

Involves the **use of a pseudo-critical pressure and pseudo-critical temperature for the**. **mixture**, defined in terms of the critical pressures and temperatures of the mixtures.

### What is Kamerlingh Onnes equation?

The most general equation relating P, V and T of a gas is that due to the Dutch physicist, Heike Kamerlingh Onnes (1901) and is written as; **PV = RT [1 + BT/V + CT/V ^{2}**.

**Where B(T), C(T)**, etc. which are functions of the temperature, are called the virial co-efficients.