6. Given that the a and b constants of the van der Waals equation for acetylene gas are 4.516 barL? mol2 and 0.0522 L mol·1, respectively. For this gas, ESTIMATE(i)the second and third virial coefficients at 300 K.(ii)at what temperature the second virial coefficient to be zero.

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

Given that the a and b constants of the van der Waals equation for acetylene gas are 4.516 bar L2 mol2 and 0.0522 L mol1, respectively. For this gas, ESTIMATE (i) (ii) the second and third virial coefficients at 300 K. at what temperature the second virial coefficient to be zero.

Given that the a and b constants of the van der Waals equation for acetylene gas are 4.516 bar L2 mol2 and 0.0522 L mol1, respectively. For this gas, ESTIMATE (i) (ii) the second and third virial coefficients at 300 K. at what temperature the second virial coefficient to be zero.

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter1: Gases And The Zeroth Law Of Thermodynamics

Section: Chapter Questions

Problem 1.48E: Use the approximation 1 x-1 1 x x2 to determine an expression for the virial coefficient C in...

See similar textbooks

Related questions

Q: How many moles of an ideal gas occupy 12.5L at 298K and 1.00atm (1.01bar) pressure?

Q: Calculate the average molecular weight of air by mole fraction and mass fraction from its…

A: Mole fraction is ratio of the mole of the substance to the total no. Of moles present in the…

Q: n²a In the van der Waals equation, (P +) (v – nb) = nRT, explain why a term is added to %3D the…

A: Since you have posted multiple unrelated questions, we are entitled to answer the first only. a)…

Q: What is the partial pressure (in atm) of CO₂ at 468.2 K in a 25.0 L fuel combustion vessel if it…

A: Given: Mass of CO2=62.8 g Mass of H2O=82.1 g Moles of hydrocarbon left=7.30 moles Temperature=468.2…

Q: Suppose a uniform ideal gas of total mass M, temperature T and N particles. What is the (v²) of each…

A: The internal energy for a monoatomic gas is given by: Eint=32NKBT Similarly, the internal energy for…

Q: Calculate the partial pressure in [bar] of N; in air consisting of N3, Oz, and Ar assuming that the…

A: Answer: This question is based on the density form of ideal gas equation which is shown below:…

Q: Why is the constant a and b important in the Van der Waals equation of state?

A: The constants a and b represent the magnitude of intermolecular attraction and excluded volume…

Q: 1.2(a) A perfect gas undergoes isothermal compression, which reduces its volume by 2.20 dm. The…

Q: At 10.0C and 102.5 kPa, the density of dry air is 1.26 gL. What is the average "molar mass" of dry…

A: dear student, since you have asked multiple questions but according to guidelines we will solve 1st…

Q: Justify the formulation of the van der Waals equation of state.

A: There are two types of gases are studied in gaseous phase. One is ideal and other is real gas. A gas…

Q: Under what conditions of temperature and pressure does a real gas approach ideal behaviour?

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The second virial coefficient of methane can be approximated by the empirical equation B(T) = a +…

A: Introduction: Since we know that Boyle temperature is that real gas starts behaving ideally .At…

Q: A closed 0.07 m³ vessel contains a mixture of gases with a molar composition of 30% CO2, 40% N₂ and…

A: Given : Molar composition : % of CO2 = 30 % % of N2 = 40 % % of O2 = 100 - 30 - 40 = 70 %…

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: If the initial temperature of an ideal gas at 2.250 bar2.250 bar is 62.00 ∘C62.00⁢ ∘C , what final…

A: For a particular ideal gas mentioned, the number of moles, volume is constant. Only temperature and…

Q: What is the partial pressure (in atm) of CO₂ at 468.2 K in a 25.0 L fuel combustion vessel if it…

A: Given: Volume of vessel = 25.0 L Temperature = 468.2 K And mass of CO2 = 73.6 g.

Q: Use the virial equation of state to calculate the pressure exerted by 1.00 mol CH4, at 273 K…

A: GIVEN: Vm=1.00 cm3 =0.001 Litre R=0.082057 L atm K-1mol-1 T=273K n=1 mol CH4 B2(T)=-53.6 cm3…

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…

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: Derive an expression for ⟨vn⟩1/n from the Maxwell–Boltzmann distribution of speeds.

Q: Estimate the molar volume of CO2 at 500 K and 100 atm by treating it as a van der Waals gas? a =…

A: Given pressure = 100 atm Temperature = 500K a= 3.610 dm⁶atm/mol² b = 4.29×10-² dm³/mol We have…

Q: At s.t.p the volume of a sample of air is 5.00 dm3 . If the mole fraction oxygen gas in the sample…

A: Given- Volume of sample = 5.00 dm3 Mole fraction of oxygen gas in sample = 0.25 To find = mass of…

Q: Is there a set of conditions (Vm,T) at which the compression factor Z of a van der Waals gas passes…

A: The compression factor = Z

Q: Estimate the percentage difference between the van der Waals and perfect gas calculations for carbon…

A: Given data: carbon dioxide: a=3.610 atmdmmol, Temperature in Kelvin (T) = 25oC Universal gas…

Q: 10 molecules of a gas are present in a container maintained at 298 K. What is the probability that…

Q: Explain the significance of the constants a and b in the van der Waals equation of state.

A: We have to explain the significance of constants a and b in the Vander Waals equation of state.

Q: ind the mass of ammonia (NH3) in a 5 m^3 vessel having a pressure of 120 kpa and 20C.

Q: It is desired to market O2 in small cylinders having volumes of 15L and each containing 2 kg of O2.…

A: As per the ideal gas law, PV = nRT = (w/M) RT where, P = Pressure of the gas V = Volume of the…

Q: How many moles of an ideal gas occupy 14.2L at 298K and 1.00atm (1.01bar) pressure?

A: Ideal gas law states that the product of volume (L) and pressure (atm) is equal to the product of…

Q: O The initial volume, pressure, and temperature of helium gas trapped in a container with a movable…

A: Given Initial Pressure (P1) = 150 kpa Final Pressure (P2) = 300 kpa Initial Volume…

Q: Given that the mass density of air at 0.987 bar and 27 °C is 1.146 kg m−3, calculate the mole…

A: Ideal gas assumption is:

Q: The International Union of Pure and Applied Chemistry (IUPAC) has adopted 273.15 K and 1 bar as…

Q: Suppose the pressure of 5 mol of nitrogen initially at 25 °C and 10 bar is suddenly dropped to 1…

A: The solution is given below -

Q: The requirement that ɛ < 1 is only true for an ideal gas.

A: For an ideal gas , (Average Kinetic energy) ε = 3/2 KT K= Boltzmann constant (1.38*10-²³) and T=…

Q: Chlorine can be prepared in the laboratory by the reaction of manganese dioxide with hydrochloric…

A: Given Volume of Cl2 = 285 ml Temperature = 25°C Pressure = 95 kPa

Q: 4. The density of a gaseous compound was found to be 1.23 kg/m 3 at 330 K and 20 kPa. What is the…

Q: A 5.00 g of N2 gas in a 4.00 dm^3 vessel by a pressure of 121.0 kPa. What is the temperature of the…

A: Given: Mass of N2 = 5.00 g. Volume of vessel = 4.00 dm3 = 4.00 L…

Q: A gas behaves ideally has a density of 1.952 g dm‑3 at 122 kPa and 298K. What is the molar mass…

Q: Is there a set of conditions at which the compression factor of a van der Waals gas passes through a…

A: The compression factor can be given as : Z=PVmRTHere,Z=compression factorP=pressureVm=molar…

Q: The mass density of a gaseous compound was found to be 1.23 kg m−3 at 330 K and 20 kPa. What is the…

Q: Determine the partial molar volume of a component of a gas mixture based on the provided equation of…

Q: Explain the significance of the constant a and b in the van der Waals eqaution state

Concept explainers

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.

Question

100%

6. Given that the a and b constants of the van der Waals equation for acetylene gas are 4.516 bar
L? mol2 and 0.0522 L mol·1, respectively. For this gas, ESTIMATE
(i)
the second and third virial coefficients at 300 K.
(ii)
at what temperature the second virial coefficient to be zero.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Vander Waal equation

VIEW

Calculations

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.

Similar questions

What properties of a nonideal gas do the Vander Waals constants represent?
At the critical point for carbon dioxide, the substance is very far from being an ideal gas. Prove this statement by calculating the density of an ideal gas in g/cm3 at the conditions of the critical point and comparing it with the experimental value. Compute the experimental value from the fact that a mole of CO2 at its critical point occupies 94 cm3.
perform stoichiometric ca1cu1uions for reactions involving gases as reactants or products.
A sample of a smoke stack emission was collected into a 1.25-L tank at 752 mm Hg and analyzed. The analysis showed 92% CO2, 3.6% NO, 1.2% SO2, and 4.1% H2O by mass. What is the partial pressure exerted by each gas?
What is the van der Waals constant a for Ne in units of bar.cm6/mol2
Scottish physicist W. J. M. Rankine proposed an absolute temperature scale based on the Fahrenheit degree, now called degree Rankine abbreviated R and used by some engineering fields. If a degree Rankine is 5/9 of a degree Kelvin, what is the value of the ideal gas law constant in L. atm/mol. R?
Use the approximation 1 x-1 1 x x2 to determine an expression for the virial coefficient C in terms of the van der Waals constants.
One of the chemical controversies of the nineteenth century concerned the element beryllium (Be). Berzelius originally claimed that beryllium was a trivalent element (forming Be3+ ions) and that it gave an oxide with the formula Be2O3. This resulted in a calculated atomic mass of 13.5 for beryllium. In formulating his periodic table, Mendeleev proposed that beryllium was divalent (forming Be2+ ions) and that it gave an oxide with the formula Be2O3. This assumption gives an atomic mass of 9.0. In 1894, A. Combes (Comptes Rendus 1894, p. 1221) reacted beryllium with the anion C5H7O2and measured the density of the gaseous product. Combess data for two different experiments are as follows: I II Mass 0.2022 g 0.2224 g Volume 22.6 cm3 26.0 cm3 Temperature 13C 17C Pressure 765.2 mm Hg 764.6 mm If beryllium is a divalent metal, the molecular formula of the product will be Be(C5H7O2)2; if it is trivalent, the formula will be Be(C5H7O2)3. Show how Combess data help to confirm that beryllium is a divalent metal.
If 456 dm3 of krypton at 101 kPa and 21C is compressed into a 30.1-dm3 tank at the same temperature, what is the pressure of krypton in the tank?