Derive an expression that shows how the pressure of a gas inside an effusion oven (a heated chamber with a small hole in one wall) varies with time if the oven is not replenished as the gas escapes. Then show that t1/2, the time required for the pressure to decrease to half its initial value, is independent of the initial pressure. Hint: Start from the expression for the rate of effusion and rewrite it as a differential equation relating dp/dt to p; recall that pV = NkT can be used to relate the pressure to the number density.

Q: For aerosol particle growth during condensation, explain the reasoning for the following: "The rate…

A: For aerosol particle, rate of condensation growth depends on various parameters : (a) Size of…

Q: determine the molar mass of an unknown gas, its usion time was compared to Oscon gas, which sa molar…

A: Graham's Law of effusion gives the relationship between the rate of effusion and molar mass of gas…

Q: Explain the relationship between the kineticmoleculartheory and an ideal gas.

A: The relationship between kinetic molecular theory and an ideal gas has to be given.

Q: O₂(g) effuses at a rate that is ratco rate Kr times that of Kr(g) under the same conditions.

A:

Q: In effusion, how does the frequency of collisions with the opening scale with molecular mass?

A: We will explain In effusion, how does the frequency of collisions with the opening scale with…

Q: eudiometer was 4.22 cm above the outside water level in the beaker. futuro (a) Write a balanced…

A: Given that -  Potassium chlorate , KClO3  decomposed into oxygen gas, O2 and potassium chloride ,…

Q: path, A, fo Question 3.i, use the metho S to determine the A for CH4. sections are 2.4 x 10-19 and

A: Given as, 500 K and 1 atm

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: Please identify the percent difference of the experimental molar volume and theoretical molar volume…

A: The balanced equation for the reaction between Zn(s) and HCl to form H2(g) is: Zn(s) + 2HCl(aq) →…

Q: The best laboratory vacuum pump can generate a vacuum of about 1 x 10⁹ Torr. At 25° C and assuming…

A:

Q: the Van der Waals equation, what

A:

Q: At a height of 15 kilometers, the temperature is 217K and the pressure is 12.1 kPa. What is the mean…

A:

Q: The density of air under normal conditions (temperature To-273 K, pressure po- 100 kPa) is 1.29 kg/…

A: The number of moles is a ratio of the mass of a substance to the molar mass of the substance.…

Q: Calculate the Redlich-Kwong parameter a of ammonia from the values of the critical constants.

A: NOTE! You have posted two different questions at same time, but as per bartleby guidelines we can…

Q: Determine the absolute pressure in torr exerted on an object submerged 1000 m below the surface of…

A: The pressure exerted on an object is calculated as: P = Po + hρg Po is the local atmospheric…

Q: For an ideal gas obeying the ideal gas law, P = nRT/V , where R is the gas constant. Write the…

A: Given details, P = nRTV R is the gas constant. n is constant, Therefore, the pressure of the given…

Q: A propane barbeque tank is filled in the winter at -15ᵒC to a pressure of 2500 kPa. What will the…

A: Given: The initial temperature, (T1) = -150C = (-15+273.15) K = 258.15 K. The final temperature,…

Q: Provide interpretation for the trend in the compression factor with respect to pressure.

A: The compression factor (Z) is the ratio of the actual volume of the gas to its ideal volume. The…

Q: A containing 138 cm ^ 3 of hydrogen was collected under a pressure of 25.6 kPa What pressure would…

A:

Q: The van der Waals equation of state was designed to predict the relationship between pressure p,…

A: The data given is,

Q: 3. Calculate the collision frequency, z, and the collision density, Zaa, in H;S (d = 360 pm) at 75 C…

A:

Q: Suppose that on another planet the atmosphere consists of17% Kr, 38% CH4, and 45% O2. What is the…

A: Given information: Composition of Kr = 17 % Composition of methane = 38% Composition of O2 = 45%

Q: 1) Properties of gas: Pressure, temperature and volume. A perfect gas has some initial volume V₁.…

A: In isothermal process temperature remains constant.Hence according to Boyle's law  PV= constant

Q: A 1.25 gram sample of solid calcium carbide (CaC2) reacts with water to produce acetylene gas (C2H2)…

A:

Q: A gas mixture containing 3 moles of ethylene and 2 moles of oxygen is undergoing the following…

A: Among the products formed only ethylene oxide [(CH2)2O] and carbon dioxide [CO2] are gaseous.…

Q: Calculate the number of collisions per second and the mean free path between HI molecules at 300. K…

A:

Q: The viscosity of helium, He, is 1.88 x 10-5 Pa at 0 °C. Calculate the collision diameter of the gas.

A: Velocity = 1.88 x 10-5 Pa.s T = 0 oC = 273 K M = 4 g/mol NA = 6.022 x 1023 R = 8.314 J/K.mol

Q: What is the pressure of He if it begins at 780C with a pressure of 56 kPa and then gets changed to a…

A:

Q: It is located 30 km above the Earth's surface (roughly in the middle of the stratosphere), the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: find the intermolecular collision frequency for a sample of neon gas at STP with e diameter of neon…

A:

Q: Give some examples of molecular collisions of gases and state its applications.

A: Applying Kinetic Theory to Gas Laws. According to Kinetic Molecular Theory, an increase in…

Q: Substance Te (K) P. (bar) 103 V. (L) Ammonia 405,40 113.53 72.47 Part A Calculate the Redlich-Kwong…

A: Answer: Given data: Tc=405.40KPc=113.53barR=8.314×10-2dm3.bar.K-1.mol-1

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

A:

Q: A mixture of 0.08733 mol of 0, 0.06466 mol of CH₂, 0.09603 mol of Co, and 0.05058 mol of Hy is…

A: Given that : Initial moles of CH4=0.06456 molInitial moles of H2O=0.08733 molInitial moles of…

Q: On the basis of Eq. 1.80 with ß = 1/k,T, derive an expression for the fraction of molecules in a…

A: Given that, β=1kBTdPx=Be-mux2β2dux

Q: A spherical balloon with a diameter of 9 m is filled with helium at 20°C and 200 kPa. Determine the…

A:

Q: The conditions associated with SATP are T=25ᵒC and P = 101.3 kPa. Is it true or false

A: SATP stand for Standard Ambient Temperature and pressure .

Q: A gas occupies a volume of 2.0 m^3 when at a pressure of 100 kPa and a temperature of 120°C.…

A: Given, Initially Pressure (P1) = 100 kPa Volume (V1) = 2.0 m3 Temperature (T1) = 120°C = (120 +…

Q: A 200.-milliliter sample of CO2 (g) is placed in a sealed, rigid cylinder with a movable piston at…

A: Use the quation   P1V1/ T1   =   P2V2/T2  to determine the final volume of the CO2 gas    let at…

Q: Determine D for (a) He and (b) Xe at standard pressure and 0.0°C. Use d 5 2.65 and 4.00 Å,…

A: In order to complete this problem, it will be necessary to utilize the following expression that…

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.