The virial equation of state may also be written as an expansion in terms of pressure: Z = 1 + B'p + ... The critical constants for water, H2O, are 218.3 atm. 55.3 cm3 mol-1 and 647.4 K. Assuming that the expansion may be truncated after the second term, calculate the value of the second virial coefficientB' at the critical temperature.

Q: For the system methane(1)/ethane(2)/propane(3) as a gas, estimate Î,, f2, Î3, P1 , Ð2 and D3 at T =…

A: Solution -

Q: A sample of nitrogen initially at T = 25 oC and p = 4.0 atm triples its initial volume. What will be…

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Q: 633 mmHg and 289 K Express your answer with the appropriate units.   V=   0.65 atm and 77 ∘C Express…

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Q: A sample consisting of 2.00 mol of perfect gas molecules, for which CV,m = 5/2R, initially at p1 =…

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Q: Given that the a and b constants of the van der Waals equation for acetylene gas are 4.516 bar L2…

A: Virial equation is the extended form of Vander Waal equation using binomial theory.

Q: Calculate the final pressure of a sample of water vapour that expands reversibly and adiabatically…

A: Given data Initial pressure of water vapor, P1 = 87.3 Torr Initial volume of water vapor, V1 = 500…

Q: Derive the following thermodynamic equation of state. • (), - -P + T Apply the equation to the…

A: We would use differentiation rules to solve this question.

Q: What are the following partial derivatives for the van der Waals equation of state? The number of…

A: Given:  Vander wall equation of state   (P+a/V2) (V-b) = RT To Determine: a) (∂P/∂a)V,T,b     b)…

Q: The van der Waals equation of state for a real gas is n?a V – nb = nRT In this equation, the van der…

A: Please find your solution below : In the van der waals equation, constant 'a' gives the idea of…

Q: = Suppose 2.80 mol of an ideal gas of volume V₁ : 3.90 m³ at T₁ = 296 K is allowed to expand…

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Q: RT a+bT 2) The equation of state of a certain gas is given by p = + where a andb are constants. Find…

A: To know the answer is correct or not, let's differentiate the equation first. The equation of…

Q: A rigid tank contains 5 kg of a mixture of neon and Nitrogen at 400 kPa and 45 C, 60% of mixture is…

A: Given: mass of mixture = 5 kg Total pressure = 400 kPa = 3.9477 atm Initial temperature (T1) = 45 oC…

Q: The isothermal compressibility, κT, of lead at 293 K is 2.21 × 10−6 atm−1. Calculate the pressure…

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Q: 1. Given the van der Waals constants for ethane gas as a=5.562 L2 bar/mof, b 0.06380 L/mol, for 10.0…

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Q: The density of an ideal gas can be written in terms of the variables p and T: Mp where M is the…

A: We see cyclic rule first for the given equation d = MP/RT For solving this problem you must have…

Q: A 14 g N2 sample (Cp,m (N2) = 30 JK-1 mol-1), initially at P1 = 12 kPa and T1 = 4 °C, is heated…

A: Answer: Ideal gas equation is shown below: PV=nRTPT=nRV Here: P=pressure of the gasV=volume of the…

Q: (9) At 300 K, the second virial coefficient (B) for N2 is –4.2 cm3 • mol-1, while for CH4 it is – 15…

A: virial equation of state for 1 mol of any gas  is        PV=RT + BVRT Where V= v/n  Where P =…

Q: A sample consisting of 1.00 mol of perfect gas atoms, for which CV,m = 3/2R, initially at p1 = 1.00…

A: Given information: Moles of perfect gas = 1.00 mol Cv,m = 3/2R Initial pressure = 1.00 atm Initial…

Q: Estimate the internal pressure of water vapour at 1.00 bar and 400 K, treating it as a van der Waals…

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Q: 3.80 mol of an ideal gas with Cy,m = 3R/2 undergoes an expansion from an initial state described by…

A: Cp = Cp stands for heat capacity at constant pressure. At constant pressure, when heat is supplied…

Q: Given the connection between Aw and K (Aw=2K) could you use the Ideal Gas Law and derive the…

A: Interpretation -  To derive the boltzmann constant by using ideal gas law when given a relation that…

Q: Q6:- The most likely velocity (in m/s) for its static energy system (939.6 MeV) and in thermal…

A: Here given:Static energy system 939.6 MeVAt room temperaturewe have to calculate the velocity =?

Q: Suppose that 3.0 mmol N2(g) occupies 36 cm3 at 300 K and expands to 60 cm3. Calculate dG for the…

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Q: An automobile wheel contains air with a pressure of 3x10^5 Pa at 25 ° C. The sipop cover was removed…

A: The relation between pressure and temperature for the adiabatic process is shown below: where; P =…

Q: A sample consisting of 2.00 mol of perfect gas molecules, for which Cy =R, initially at pi = 170 kPa…

A: 2.0 mole of a perfect gas having initial pressure at 170 kPa and T1 = 277 K  is heated…

Q: A container of volume 100.0 dm3 is divided into two (unequal) compartments. In the left compartment…

A: The expression for the Gibb’s free energy of mixing for an ideal mixture is shown below:

Q: RT a+bT 2) The equation of state of a certain gas is given by p = Vm where a and b are constants.…

A: Solution The equation of state for a substance provides the extra data needed to calculate the…

Q: 圖) V- b SP (2a/RV³)(V – b)? –T

A: A van der Waal gas or a real gas is a gas that follows the van del Waal equation which will be as…

Q: It is the relationship between pressure and volume in the adiabatic processes of an ideal gas, where…

A: PV relation for adiabatic process of Ideal gas is

Q: (1) The relationship between C P.m and C xm can also be given by the relationship: Срт — Сут ƏT (a)…

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Q: Consider a particular gas. The isothermal compressibility and coefficient of thermal expansion are…

A: Given , Isothermal compressibility : κ=Vc1T   (l) Coefficient of thermal expansion : α=1T+ c2c1V…

Q: 4. Suppose you have 5 moles of helium gas (ideal, monatomic), which expands under constant pressure.…

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Q: Estimate the internal pressure of sulfur dioxide at 1.00 bar and 298 K, treating it as a van der…

A: Given,Pressure of the gas , P = 1 bar Temperature, T = 298 KExpression of Internal pressure, πT =…

Q: An automobile wheel contains air with a pressure of 3x105 Pa at 25 ° C. The sipop cover was removed…

A: Adiabatic expansion process occurs without transfer of mass or heat between the system and it's…

Q: Which of the following is equal to the ratio of expansion coefficient, a to the isothermal…

A: A gas can expand on heating and compresses on cooling .This two property of gas can be expressed in…

Q: What is the ∆rxnG° (in KJ/mole) for a mole of an ideal gas as pressure changes from 0.1 Pa to 1×10^5…

A: Del G is the Gibbs free energy of the reaction .it is at constant T and in standard condition so we…

Q: 2.3 A sample consisting of 2.0 mol CO, occupies a fixed volume of 15.0 dm³ at 300 K. When it is…

A: A sample consisting of 2.0 mol CO₂ occupies a fixed volume of 15.0 dm³ at 300 K. When it is supplied…

Q: n = 1 moles of a monoatomic ideal gas are initially in a thermodynamic equilibrium state A…

A: It's a multiple part question and as per our guidelines, we are supposed to solve only first three…

Q: A sample of 3 mol of Argon is put through the following cycle : Р (Рa) State 1 State 2 500 State 3…

A: " Since there are multiple sub-parts, and it is not mentioned which part has to be answered. i am…

Q: Calculate the molar volume of carbon dioxide at 400K and 30 atm, given that the second Curial…

A: The viral equation of the state is given below

Q: For an ideal gas, find explicit expression for the partial derivative: * ƏT V

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Q: A rigid vessel of volume 0.2m3 contains 10 kg of (liquid + vapor) water at 200°C. What are the…

A: Here i have calculated pressure using ideal gas equation

Q: Calculate the final pressure of a sample of carbon dioxide that expands reversibly and adiabatically…

A: Given that: Initial pressure (P1) = 67.4 kPa Initial volume (V1) = 0.50 dm3 Final volume (V2) = 2.00…

Q: One mole of He gas with CV,m = 3R/2 essentially independent of temperature expands reversibly from…

A: Cv,m = 3/2 R  => Cp,m = Cv,m + R = 3/2R + R = 5/2R  => γ = Cp,m/Cv,m = 5/3  For reversible…

Q: Treat CO2 as an ideal gas and compute q, w, DH, and DU for its inhalation at a constant 1 bar…

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Kinetic-Theory of Gases

Kinetic theory of gases is the model or method which was developed in the 19th century by Maxwell and Boltzmann. This is possible as the interatomic force which is of short-range forces that are important for solids and liquids can be neglected for gases. This theory or gas law gives a molecular interpretation of the pressure and temperature of a gas and is consistent with gas laws and Avogadro’s hypothesis. This theory is very helpful to correctly explain the specific heat capacities of many gases, kinetic energy and it also explains the transport qualities such as viscosity, thermal conductivity, and diffusion with molecular parameters. As stated in the kinetic-molecular theory, the temperature of a substance or gas particle is related to the average kinetic energy of the particles of that substance. When a substance is heated, some of the absorbed energy is stored within the particles, while some of the energy increases the motion of the particles, called average kinetic energy.