Answered: Use the van der Waals equation of state…

Use the van der Waals equation of state to determine the density of propane (C,Hg) at 400 K and 12.75 MPa. How does this value compare with that obtained from the NIST online database?

Physical Chemistry

2nd Edition

ISBN:9781133958437

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

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

Chapter2: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 2.49E

See similar textbooks

Related questions

Q: what is the molar volume of ethane at 350 k and 70 bar according to the van der waals equation?

Q: For a van der Waals gas with given values of a and b, identify the conditions for which Z < 1 and…

A: Z is known as compressibility factor. The formula of Z: Equation 1: P is the pressure. V is the…

Q: Calculate the molar mass of a particle with a root mean square velocity of 191.5 m/s at 373 K.

A: The root mean square velocity of gas is given by vrms = (3RT/M)1/2 where vrms = root mean square…

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: This is the expression valid for van der Waals gases. Calculate the final temperature if the Joule’s…

A: In this question we have to calculate the final temperature by using joule thomson effect,

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: Metallic molybdenum can be produced from the mineral molybednite, MoS2. The mineral is first…

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: Create a plot of the Maxwell-Boltzmann distribution for N₂ in which the root mean square speed of…

A: Maxwell-Boltzman distribution forms the basis of kinetic theory of gases.It defines the distribution…

Q: The effect of high pressure on organisms, including humans, is studied to gain information about…

A: Since temperature is constant in this question, we will be using Boyles law to calculate the…

Q: Measurements on argon gave B = -21.7 cm3 mol-1 and C= 1200 cm6 mol-2 for the virial coefficients at…

A: The van der Waals equation is represented by the formula given below as, The above equation can be…

Q: Consider Argon (Ar) gas at a pressure of 1 bar and temperature of 300 K. The equivalent hard sphere…

A: We will be using the following formulae for solving the given problems: 1. PV=nRT .. (1) Here, 'P'…

Q: For each of the following pairs of compounds, which of the following gases would you predict to have…

A: The van der Waal equation is shown below in which "a" constant gives the correction value of…

Q: The mass density of water vapour at 327.6 atm and 776.4 K is 133.2 kg m−3. Given that for water a =…

A: a.

Q: Use the van der Waals equation of state to calculate the pressure ? of 4.00 mol of CH4 at 469 K in a…

Q: At high temperatures, one of the van der Waals constants

Q: After studying the concept of real gases, Zainab was perplexed to know the following: (a) Why the…

A: For real gas

Q: Compare the density values of O2 at 480 K and 280 bar using the ideal gas and the van der Waals…

A: To determine relative error.,

Q: Which of the following statements about the Perfect Gas Law and the van der Waals equation of state…

A: Here, we have to find the statement that is false among the given statements according to the…

Q: t pressure would exert by 20 g of argon gas (MM-39.95 g mol) in a vessel of volume 2 dm at 40°C if…

Q: Consider the van der Waals equation of state. a. Express the van der Waals equation of state as a…

Q: calculate the van der Waals constant b. What is the compression factor for this gas at the…

Q: The van der Waals equation of state was designed (by Dutch physicist Johannes van der Waals) to…

Q: Express the van der Waals equation of state as a virial expansion in powers of 1/Vm and obtain…

A: Vander wall equation for real gases is given as,(P+aVm2)(Vm-b)=RT.........1st.Re arranging the above…

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: Calculate the volume occupied by 1.00 mol N2 using the van der Waals equation expanded into the form…

A: The gas temperature in which the real gas behave as the ideal gas then that temperature will be the…

Q: The van der Waals equation of state for a real gas is n'a Р + V- nb]=nRT v2 In this equation, the…

Q: The van der Waals equation of state was designed (by Dutch physicist Johannes van der Waals) to…

Q: .Estimate the critical constants of a gas with the van der Waals constants: a = 0.761 bar dm mol and…

Q: The smell of rotten eggs comes from dihydrogen monosulfide, which is created through anaerobic…

A: Number of moles of dihydrogen monosulphide formed can be calculated as follows: PV=nRTn=PVRTn=1.00…

Q: In the Van Der Waals Equation for real gases what are the a and b variables and how to they adjust…

A: Vanderwall gas molecule have attraction between gas molecules and they have significant size of…

Q: A gas at 250 K and 1520 kPa has a molar volume 12% smaller than that calculated from the perfect gas…

A: Given Temperature of gas , T = 250 K Pressure of gas , P = 1520 kPa Molar volume of Real gas = 0.88…

Q: Air is about 78.0% nitrogen molecules and 21.0% oxygen molecules. Several other gases make up the…

A: Given: The molecules percentage (Which is the same as the mole percentage) of nitrogen = 78.0 % And…

Q: Show that for a gas of rigid spherical molecules, b in the van der Waals equation is four times the…

Q: A gas at 350 K and 12 atm has a molar volume 12 per cent larger than that calculated from the…

A: A gas at 350 K and 12 atm have a molar volume 12 percent larger than that calculated from the…

Q: (b) The critical constants of Pc, T. and Vme of ethane, C₂He, were given as 48.2 atm, 305.4 K and…

A: Molar mass of ethane is 30 g/mol. Given value of Pc ,Vc and Tc are respectively 48.2 atm, 148…

Q: What pressure would 4.56 g of nitrogen gas in a vessel of volume 2.25 dm3 exert at 273 K if it…

A: Given that: Mass of nitrogen gas = 4.56g Molar mass of nitrogen gas =28g/mol Volume = 2.25 dm3 =…

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

Q: The critical volume and critical pressure of a certain gas are 160 cm3 mol−1 and 40 atm,…

A: A Berthelot equation is that which relates with the pressure, volume and temperature of a gas and…

Q: Estimate the coefficients a and b in the Dieterici equation of state from the critical constants of…

A: The dielectric equation equation for the pressure is p=R×t×e-aR×T×VmVm-b (1)the…

Q: - p. Vm - or gas obeying the van der Waals equation, evaluate T

A: Welcome to bartleby !

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

Concept explainers

Matter and Measurement

In the universe, there is matter, energy, and void space. The universe contains energy and void space. The definition of matter can be considered as something which possesses mass and consumes space. Chemistry is that branch of science which deals with the study of matter. Under chemistry, nature, composition, and the changes occurring to matter are discussed.

Question

a = 9.385

b = 0.090400

Use the van der Waals equation of state to
determine the density of propane (C,Hg) at 400 K
and 12.75 MPa. How does this value compare with
that obtained from the NIST online database?

Expert Solution

Step 1

Given:

Pressure = 12.75 MPa = 125.83 atm

Temperature = 400 K

a = 9.385

b = 0.090400

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

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 is the van der Waals constant a for Ne in units of bar.cm6/mol2
Exhaled air contains 74.5% N2, 15.7% O2, 3.6% CO2, and 6.2% H2O (mole percent). (a) Calculate the molar mass of exhaled air. (b) Calculate the density of exhaled air at 37C and 757 mm Hg and compare the value you obtained with that of ordinary air (MM=29.0g/mol) under the same conditions.
The gas in the discharge cell of a laser contains (in mole percent) 11% CO2, 5.3% N2, and 84% He. (a) What is the molar mass of this mixture? (b) Calculate the density of this gas mixture at 32C and 758 mm Hg. (c) What is the ratio of the density of this gas to that of air (MM=29.0g/mol)at the same conditions?
An industrial firm supplies compressed air cylinders of volume 0.25 m3 filled to a pressure of 20×106 Pa at 17 ºC. Calculate the number of moles of air in each cylinder.
Calculate the pressure exerted by 1.0 mol C2H6 behaving as (a) a perfect gas, (b) a van der Waals gas when it is confined under the fol lowing conditions: (i) at 273.15 K in 22.414 dm3 , (ii) at 1000 K in 100 cm3. Use the data given.
In general, the compressibility factor Z tends to be smaller than 1 at moderate pressures (around 150 bar for methane.) Which Van der Waals' factor seems to be responsible for this behavior.--- a or b? Explain
Using (a) the ideal gas law and (b) the van der Waals equation, calculate the pressure exerted by 50.0 g carbon dioxide in a 1.00-L vessel at 25°C. Do attractive or repulsiveforces dominate?
A mole of air, (80.0% N2 and 20.0% O2, by volume) at 24.8oC is brought into contact with liquid water which has a vapor pressure of 3118 Pa at this temperature. (A) What is the volume of the dry air, if the pressure is 1 bar? (B) What is the final volume of the air saturated with water vapor, if the total pressure is kept as 1 bar? (C) What is the mole fraction of each gas in the moist air?
What will its new volume be if the pressure remains constant? Given that: 735 mL sample of gas at 756mm Hg. 230C is cooled to -350.
The critical volume and critical pressure of a certain gas are 160 cm3 mol−1 and 40 atm, respectively. Estimate the critical temperature by assuming that the gas obeys the Berthelot equation of state. Estimate the radii of the gas molecules on the assumption that they are spheres.
Measurements on argon gave B = -21.7 cm3 mol-1 and C= 1200 cm6 mol-2 for the virial coefficients at 273 K. What are the values of a and b in the corresponding van der Waals equation of state?
a hot air balloon has a volume of 1200m3, the ambient air temperature is 15C and the pressure 1atm. what value must the air temperature in the balloon reach so that it barely manages to lift 200kg (including the balloon mass)? it is assumed that the effective molar mass of the air molecules is equal to 29g/mol