i. Carbon dioxide (CO2) is a major greenhouse gas when it diffuses into the earth atmosphere. Given that at 273 K and 1 atm, the value of D for CO2 (Dco2) is 1.00 x 10-5 m? s1, calculate the collisional cross-section of the gas. ii. Under the same T and P, the DN2 value of nitrogen gas is three-fold greater than the value of Dco2. Calculate the value of o for N2.

Q: Show that if all terms after C/Vm² are omitted from the virial equation, this equation predicts Ze…

A: Solution -

Q: Calculate ZA for Argon moving with a speed of 600 m/s at 25 °C and 1.0 bar pressure assuming Argon…

A: Option 1- 9.35* 1010 s-1

Q: Explain and answer  The best laboratory vacuum pump can generate a vacuum of about 1 nTorr. At 25°…

A: Given that, The pressure is P = 1 nTorr = 1×10-9 torr = 10-9×133.322 N/m2 = 1.33×10-7 N/m2, The…

Q: P1C.13 A scientist proposed the following equation of state: RT В C Vm V? V3 m m Show that the…

A:

Q: The molar volume of oxygen, O2, is 3.90 dm3 mol-1 at 10.0 bar and 200 °c. Assuming that the…

A:

Q: (a) Find the average rate of change of P as V increases from 200 in3 to 250 in3. (b) Express V as a…

A: (a)

Q: 13.1 liter steel tank contains 0.4 kg of Argon gas. If the maximum temperature that this tank can…

A:

Q: A sample of air was compressed to a volume of 31.4 L. The temperature was 298 K and the pressure was…

A: Formula used: PV=nRT

Q: me File UAMS About the Program | X A www-awu.aleks.com/alekscgi/x/lsl.exe/1o_u-IgNslkr O STATES OF…

A:

Q: The best laboratory vacuum pump can generate a vacuum of about 1 nTorr. At 25 °C and assuming that…

A: Boltzmann constant k = 1.381 ×10-23 J K-1 R = 8.3145 J mol-1 K-1 d = 395 pm or 395 * 10-12 m T = 298…

Q: Rearrange the van der Waals equation of state, p = nRT/(V − nb) − n2a/V2(Topic 1C) to give an…

A: The Vanderwaal’s equation of state is described as,

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: Mass of evacuated syringe assembly: 36.9758g Mass of syringe assembly with Dust-Off spray: 37.1017g…

A: According to ideal gas law, PV = nRT where P = pressure in atm V = volume in L n = moles R = gas…

Q: P1A.3 The following data have been obtained for oxygen gas at 273.15K. From the data, calculate the…

A: Ideal Gas equation :  This equation relates pressure, temperature, volume and number of moles of a…

Q: Using the conversion between atmospheres and kPa (1 atm = 101.3 kPa), calculate the value for R with…

A: R is the Universal Gas Constant which has got different values with the change in units. The value…

Q: At a temperature of 300K and a certain pressure, the mean free path (l) of oxygen molecules is 0.1…

A: Collisional frequency is the average rate of collisions between two reactants for a particular…

Q: An important process for the production of acrylonitrile (C3H3N) (U.S. production is greater than…

A: In this problem, we have to calculate the mass of acrylonitrile. For this, first of all, we have to…

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: If 400cm^3 of Q was collected at 25°c and 1.20 x10^5, calculate the volume it would occupy at s.t.p…

A: Volume = 400 cm3 = 0.4 L  Pressure = 1.20 × 105 Nm2  = 1.18 atm Temperature = 25°C = 25 + 273 = 298…

Q: Use the Maxwell-Boltzmann distribution of speeds to estimate the fraction of CH4 molecules at 298.15…

A:

Q: Determine the average speed, mean free path and collision frequency for molecular oxygen with 4.0…

A:

Q: 3.00 dm of carbon dioxide at a pressure of 200 kPa and 1.00 dm3 of nitrogen at a pressure of 300 kPa…

A:

Q: Virial state equation of real gases is expressed as Z = (PV / nRT) = 1 + (nB / V) + (n2C / V2).…

A: Solution 1. At constant pressure, the quantity of a gas changes linearly with temperature.V = Vo+ k…

Q: Derive an expression that shows how the pressure of a gas inside an effusion oven (a heated chamber…

A:

Q: Prove that the difference between (CP) and (CV) for real gases is given by the following…

A:

Q: 8. Consider a gas with the equation of state P - RT(1/V+ a/V + b/V). Usually one finds the critical…

A: All the gases, in ideal condition follow the gas laws. The gas laws states that “at constant…

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: Using a vacuum pump, a vessel containing pure nitrogen gas has its internal pressure reduced to 1.33…

A: Given, Internal Pressure, P = 1.33 × 10-7 Pa Temperature, T = 298 K Collision diameter, d = 395 pm =…

Q: What is the density of a gas that has a molecular weight of 0.123 kg/kg mol at 300 K and 1000 kPa.

A: PV = nRT , where n = massM.W PV = massM.W x RT    .........   changing in the equation using density…

Q: -42 cm/mol for CH and B = -732 8.6 At 25°C, B cm/mol for n-C,H0. For a mixture of 0.0300 mol of CH,…

A: given data are mixture of 0.0300 mol of CH4 and 0.0700 mol of n-C4H10 so n= no. of moles =…

Q: 2) a) Virial equation of state of real gases is expressed as Z = (PV / nRT) = 1 + (nB / V) + (n2C /…

A: Vander Waals equation for a real gas can be written as follow: P+aVm2=RTVm-b where P is pressure, Vm…

Q: Experimental data shows that the atmosphere of planet X is composed of pure carbon dioxide, with the…

A: Given: Pressure at ground level = 700 Pa = 0.00690 atm Temperature = -60 oC = 213 K molar mass of…

Q: Molecular oxygen, O2, has a collision diameter of 3.57 x 10-10 m. Calculate the mean free path, 2,…

A:

Q: Virial Equation of State The virial equation of state: Z = PVm RT - 1 + B(T) C(T) Vm + V2 m + D(T)…

A:

Q: Calculate the number density for a sample of Argon gas that has a mean free path of 500 Å. (1.000 Å…

A:

Q: (6) Consider an ideal gas for which pV = n RT. Determine the change in pressure, p, for n = 2.0…

A: Answer: Ideal gas equation is shown below: PV=nRTP=nRTV Here: P=pressure of the gasV=volume occupied…

Q: Calculate the number of collisions per second of one hydrogen molecule at 22 °C and 8.00 bar. The…

A:

Q: A gas mixture composed of helium and argon has a density of 0.765 g/Lat a 736 mmHgand 298 K. Part A…

A: Calculation for number of moles:

Q: for molecules of 02 at a temperature at OCelcius and a preasure of 1 atm (101325 Pa). Calculate the…

A: Number of collisions per second means collision frequency. Collision frequency(v) is calculated…

Q: At what pressure does the mean free path of argon at 25°C become comparable to the size of a 1 dm3…

A: Given; Temperature (T) = 25°C = 298 K  Volume of vessel = 1 dm3  Volume of sphere (V) = (4/3)×π×r3…

Q: (b) For the following equation of state, determine the Boyle temperature in terms of constants: PVm…

A: Soln Boyle's temperature is  temperature at which the any real gas follows the Boyle's law i.e it…

Q: A mixture of 8gm of helium and 14gm of nitrogen is enclosed in a vessel of constant volume at 300K.…

A:

Q: The following data have been obtained for oxygen gas at 273.15K. From the data, calculate the best…

A: Using the ideal gas equation to find R,Assume that there is 1 mole of gas. pVm = n R T Given that,T…

Q: The van der MWe RT P4 V2 In this equation the van Waals constant g. represents a correction for a…

A: Given: van der Waals equation of state for a real gas is given as, where P = pressure of the gas  V…

Q: R3.12 For a perfect gas with CPm = a + bT + c/T?, b, and c are certain constants, find expressions…

A: Entropy related to the disorderliness of the system. For isobaric process entropy change, with…

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.