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The following questions pertain to the magnitude of the x-component of the speed(absolute value of the velocity) cx=|vx| of atoms in a gas, whose probability distriubution has the form P(cx)= ae^-bc2/x.
A. Write down the integral you would need to evaluate in order to calculate the avg value of c^2/x.
B. Evaluate the above integral in terms of the constants a and b.
C. Express b in terms of the mass m of each atom and the temperature T of the gas( and other constants), given that the Boltsmann factor in P(cx) pertains to the x- component of the kinetic energy of each atom in the gas.
D. How should the value of a differ from that in Eq - P(vx)dvx= sq root. m/2pikbT e^-mv2/x/2kbT dvx given that speed cx includes both the corresponding positive and negative velocities, and so the probability of observing a speed cx is twice that of observing the corresponding velocity vx?
E. Use the above results to express the avg value of c2/x in terms of m and kbT, and then show that the avg kinetic energy in the x-direction <ex>=1/2m<c2/x> has the expected value.
CO2 has a mol wt of 44 Da. 5.0 micro liters of CO2 is added to 525 mL of air. The pm of CO2 by volume and weight is/are?
A student measures out 100.0 ml of 1.00 M HCl and places it in a styrofoam cup. The temperature of the HCl is 22.30C. She then addes 1.002 g of MgO to the cup.
The freezing point of ethanol (C2H5OH) is -114.6 degrees C and the molal freezing point depression constant for ethanol is 2.00 degrees C kg mol-1. What is the freezing point (in C) of a solution prepared by dissolving 57 g of glycerin (C3H8O3) in..
A 2.067-g sample of a monoprotic acid was dissolved in water. It took 25.24 mL of a 0.1578 M NaOH solution to neutralize the acid. Calculate the molar mass of the acid.
Based on polarity, which compound do you expect to have a larger Rf value in a soluvent of medum polarity
calculate the energy of a photon of light with a wavelength of 360nm.
This is a fact that Bromine(Br) is larger than chlorine(Cl) but indication of equilibrium constant suggests that a bromo substituent has a less preference for the equatorial position than chloro substituent? Explain it briefly?
Which of the following will precipitate as chloride salts: Ag+, Pb2+, Ca2+, K+, and Cu2+?
Two vessels are labeled A and B. Vessel A contains NH3 gas at 70°C, and vessel B contains Xe gas at the same temperature. If the average kinetic energy of NH3 is 7.1 10-21 J/molecule, calculate the mean-square speed of Xe atoms in m2/s2.
what are the names of the quantity measured by each of seven SI base units and the SI symbols of the unit?
How long would it take to electroplate a metal surface with 0.500 g nickel metal from a solution of Ni 2+ with a current of 4.0 A?
An arctic weather balloon is filled with of helium gas inside a prep shed. The temperature inside the shed is . The balloon is then taken outside, where the temperature is . Calculate the new volume of the balloon.
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