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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.
If the titrant has a molarity of 0.2750 M and there are 5.00 mL of analyte present, what is the molarity of the analyte
Consider the following reaction: CO + 2H2= CH3OH, kp= 2.26 x 10^2 at 25C . Calculate delta G for the reaction at 25C under each of the following conditions.
Predicting the Polarizability of a Molecule. Consider the following set of data for polarizability. From what I have learned, the simplest model for predicting the polarizability of a molecule is to assume that polarizability scales with the type.
22.5ml of .383 molar H2SO4 is required to completely neutralize 20ml of KOH solution. What is the molarity of the KOH solution?
Coal = 3.9% sulphur power plant while producing electricity turns coal into sulphur dioxide gas calcium oxide is used to react with sulphur dioxide and forms solid calcium sulfite coal
You have been provided with a 0.1M aqueous solution of glycine at pH 9.0. Calculate how much (in ml) of 5M NaOH solution that you must add to 1 L of this 0.1M glycine solution in order to bring its pH to exactly 9.80
Use the Nernst Equation to calculate Ecell at 25 C for electrolysis of aqueous sodium chloride if the concentration of chlorine in the brine solution is 4.5 M and the partial pressure of Cl2 is 0.001 atmospheres.
A 32.0-g sample of water at 290. K is mixed with 48.0 g water at 310. K. Calculate the final temperature of the mixture assuming no heat loss to the surroundings.
Determine the point group of each of the three possible geometries of the hypothetical Be3+ on, ten draw the molecular orbitals for each geometry,
An unknown Cu2+ sample gave an absorbance of 0.262 in an atomic absorption analysis. Then 1.00 ml of solution containing 100.0 ppm Cu2+ was mixed with 95.0 ml of the unknown, and mixture was diluted to 100.0 ml in a volumetric flask.
Determine water solubility under normal atmospheric conditions (assuming that Carbon dioxide obeys Henry's law?)
2 FeBr3(aq) + 3 Na2CO3(aq) Fe2(CO3)3(s) + 6 NaBr(aq) what is the net ionic eqation for this molecular equation.
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