0.0016 298 K 0.0008 1000 K - 1000 1000 Vy/m s-1 FIGURE 16.2 One-dimensional velocity distributions for Ar at 298 K (red line) and 1000 K (purple line).
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List 3 observations for Figure 16.2
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- Calculate the average translational kinetic energy for a N2 molecule and for 1 mole of N2 at 20 degrees C.By definition, the compressibility of an ideal gas is 1. By approximately what percentage does this change for hydrogen upon inclusion of the second virial coefficient term? How about for water vapor? Give the conditions under which you make this estimate.A specially constructed velocity-selector accepts a beam of molecules from an oven at a temperature T but blocks the passage of molecules with a speed greater than the mean. What is the mean speed of the emerging beam, relative to the initial value? Treat the system as one-dimensional.
- Derive the expression for the most probable speed from the maxwell- boltzman distribution. show it step by stepsAt an altitude of 15km the temperature is 217 K and the pressure is 12.1 kPa. What is the mean free path(in nm) of N2 molecule? σ = 0.43 nm2Methane molecules, CH4, may be considered as spherical, with a collision cross-section of σ = 0.46 nm2. Estimate the value of the van der Waals parameter b by calculating the molar volume excluded by methane molecules.
- Methane molecules, CH4 , may be considered as spherical, with a collision cross-section of σ= 0.46 nm2 . Estimate the value of the van derWaals parameter b by calculating the molar volume excluded by methane molecules.Calculate the pressure exerted by 1.0 mol C2H6 behaving as a van der Waals gas when it is confined under the following conditions: (i) at 273.15 K in 22.414 dm3, (ii) at 1000 K in 100 cm3. Use the data in Table 1C.3 of the Resource section.What is the most probable velocity of the SO2 molecule at 299 K?
- Use the virial equation of state to calculate the pressureexerted by 1.00 mol CH4, at 273 K confined to a volumeof 1.00 cm3, given the value of the second virial coefficient.B = -53.6 cm3 mol·'. at this temperature. You may assumethat the expansion may be truncated after the second term.Explain and answer The best laboratory vacuum pump can generate a vacuum of about 1 nTorr. At 25° Cand assuming that air consists of N2 molecules with a collision diameter of 395 pm,calculate:i) the mean free path of the gas. (1 J = 1 kg.m2/s2) R = 8.31451 J K-1 mol-1Evaluate the collision frequency between H2 molecules in a gas. Datas : 1.00 atm (101 kPa), 25 °C, σ = 0.45 nm2