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Consider a self-adjoint ('hermitian') operator Aˆ. The wavefunction of the system is ψ. Use the rules forcalculating with scalar products (Chapter 2 in the printed lecture notes, or your notes from my Lecture# 2) to show that the expectation value hAi = hψ|Aψˆ i is real. Do not assume that ψ is an eigenfunction of Aˆ.
Typically, gasohol is a mixture of 90% octane H8C18 and 10% ethanol C2H4OH. Determine the energy output of 1 gram of gasohol using the following two pieces of information
Explain if a solution has an absorbance value of .398 at a wavelength of 450nm define what is the percent transmittance of this solution at this wavelength
Phenol (C6H5OH, also called carbolic acid) has a pKa of 9.89. It is used to preserve body tissues and is quite toxic. Calculate the percent ionized in 0.0503 M phenol--a dilute solution.
Upon opening the stopcocks what is the partial pressure of each gas and the total pressure inside the apparatus. Assume that the volume of the stopcocks and the tubing connecting the bulbs is negligible.
A proton in a linear accelerator has a de Broglie wavelength of 144 rm pm. what is the speed of the proton?
0.151 g ofpiperonaldehyde, and 0.80 mL of ethanol, and added 0.10 mL of NaHOsolution (0.60 g/mL), what is the theoretical yield of theresulting chalcone, in grams?
write the complete mechanism for the initiation and propagation steps using free radical notation for free radical notation mono-chlorination reaction of the alkane: 2, 4 - dimethylpentane.
From the mean bond enthalpy data given below, estimate the enthalpy change for the complete combustion of one mole of butene at 298 K. (The molar enthalpy of vaporization of water is 45.0 kJ mol-1 at 298K)
Nitrogen forms more oxides than any other element. The percents by mass of N in three different nitrogen oxides are (I) 46.69% (II) 36.85% (III) 25.94%. For each compound, determine
Calculate the mass in grams of hydrogen chloride produced when 5.05L of molecular hydrogen measured at STP reacts with an excess of molecular chlorine gas.
What is the density of a block of marble that occupies 350 cm3 and has a mass of 660 g?Answer in units of g/cm
for each of the three types of polarization,briefly describe the mechanism by which dipoles are induced and/or oriented by the action of an applied electric field. For solid lead titanate, gaseous neon, diamond
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