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A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…
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Q: Derive the expression for the most probable speed from the maxwell- boltzman distribution. show it…
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Q: Derive an expression for ⟨vn⟩1/n from the Maxwell–Boltzmann distribution of speeds.
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Q: What is the most probable velocity of the SO2 molecule at 299 K?
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Q: (a) To what temperature must a 1.0 L sample of a perfect gas be cooled from 25 °C in order to reduce…
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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: The best laboratory vacuum pump can generate a vacuum of about 1 nTorr. At 25°C and assuming that…
A: Given temperature. T = 25 oC + 273.15 = 298.15 K Molar mass of N2 molecule, M = 28.013 g.mol-1 *…
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Q: 5.) Calculate the most probable speed of an argon gas (39.95 g/mol) at 298K. A. 1.36 x 103 cm/s B.…
A: Given, The most probable speed of argon at 298 K temperature is:
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Q: True or false? At 298K, N2 molecules have a mean speed of 475 m/s. As a consequence, the…
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Q: At what pressure will the mean free path in room-temperature (20∘C) nitrogen be 0.70 m
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Q: At what pressure does the mean free path of argon at 20 °C become comparable to the diameter of a…
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Q: Use the virial equation of state to calculate the pressure exerted by 1.00 mol CH4, at 273 K…
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Solved in 2 steps with 1 images
- Why is nitrogen a good choice for the study of ideal gas behavior around room temperature?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.Under what conditions would the van der Waals constant b be negative? Do you think there are any gases for which this occurs?
- What is the van der Waals constant a for Ne in units of bar.cm6/mol21.3 mole of helium gas at a temperature of 276 K is confined to a cubical container whose sides are 12 cm long.Find the mean summed kinetic energy of ALL the atoms in the container in [J].True or false? At 298K, N2 molecules have a mean speed of 475 m/s. As a consequence, the probability to randomly pick 1 molecule at 475.00 m/s is extremely high.
- Assuming that molecules are randomly distributed in a volume V at pressure P and temperature T with a density n, what is the probability that the nearest molecules is at a distance r from another moleculesThe maximum in the Maxwell–Boltzmann distribution occurs when df(v)/dv = 0. Find, by differentiation, an expression for the most probable speed of molecules of molar mass M at a temperature T.2. Evaluate the following integrals. ● -5 dx 5x • S√1 + x dx 3. The pressure of one mole of a van der Waals gas is a function of volume and temperature. Determine if dP is an exact or inexact differential. P ---- RT V-b a V2
- 5) Discuss the physical interpretation of any one Maxwell relation.Q6. (a)The vander waals equation is used to describe the behaviour of real gases but still not so useful in many industrial applications. Explain why?(3) (b)In kinetic molecular theory of gases it is assumed that The molecules of the gases occupy negligible volume as compared to the total volume of the gas' which factor can be actually described by this postulate?(2)Calculate the mean speed and the root mean square speed for the following set of molecules: 10 molecules moving at 1.5 x 10 ms"l; 20 molecules moving at 5 x 102 ms', and 8 molecules moving at 20 x 10² ms"!.