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Given that translational and rotational degrees of freedom typically behave classically, but vibrations behave quantum mechanically, the total (avg) energy of a diatomic is predicted to be U= (5/2)RT+<e>, where <e> is obtained from Eq.124.
A. Verify the first equality in R (beta(delta e)^2e^Beta(delta e)/[e^Beta(delta e)-1]^2 using the chain rule, and then verify the second equality in the same bolded equation by evaluating the derivative with respect to Beta(and then manipulating the result to show that it is equivalent to the final expression).?
B. Use Cv/R= 5/2+ (beta(delta e)^2e^beta(delta e)/[e^beta(delta e)-1]^2 to predict the molar heat capacity of Cl2 gas at 300 K, using the information provided in problem, above, and compare your result with the experimental molar heat capacity of cl2, cv~ 26 J/(kmol) at 300 K?
how many calories are used to heat a 50g sample of water from 8.1 degrees celius to 27.4 degrees celcius?
Diamond has a face-centered cubic unit cell, with four more C atoms in tetrahedral holes within the cell. Densities of diamonds vary from 3.01 g/cm3 to 3.52 g/cm3 because C atoms are missing from some holes.
Determine what is the percent yield of the reaction If 15.0 grams of Nitrogen and 2.00 grams Hydrogen react to produce 1.38 grams of Ammonia?
There are two key concepts to keep in mind throughout the exercises: 1) What is the unit cell for each structure? 2) What are the coordination environments of the atoms involved?
A 270 mL stock solution contains 0.9 M Ca(CN)2. When 103 mL of the stock solution is diluted to 130 mL, how many moles of CN- ions will be contained in the dilute solution?
Ammonium hydrogen sulfide decomposes on heating NH4HS(s) NH3(g) + H2S(g) If Kp for this reaction is 0.11 at 298 kelvins (with pressures in atmospheres)
Correlation of structure with the melting point - What structural aspect of these 18-carbon fatty acids can be correlated with the melting point?
In photography, solutions of sodium thiosulfate are used to dissolve unexposed AgBr (Ksp = 5.0 × 10-13) in the developing process for black-and-white film. What mass of AgBr can dissolve in 1.00 L of 0.238 M Na2S2O3.
calculate the amount of sodium nitrate in mg in one liter if 3.8mg of nitrate was detected in one liter of water.
How much heat energy is required to raise the temperature of 0.367 kg of copper from 23.0 degrees C to 60.0 degrees C? The specific heat of copper is 0.0920 cal/(g*C)
Calculate the new freezing point for a 0.61 m solution of CCl4 in benzene. 2) Calculate the increase in the boiling point, Î"T, for a 1.94 m solution of sucrose (dissolves as a molecule) in water
A student adds 6.60 of a 0.380 solution to the beaker. How much will the pH change? The of acetic acid is 4.760.
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