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We have N distinguishable particles. Each particle from(1 to N) can adopt a countably infinite number of microstates (ia) that can be labelled ia=0,1,2,3...... with corresponding energies Ea(ia)=ia. ( eg. 0th microstate has energy 0, the 1th microstate has energy 1 the 2nd microstate has energy 2 so on..) If particle 1 has microstate i1, particle 2 has microstate i2,...., the the energy of N particle system is the sum of independent particles E=sum of ia. Determine the microcanonical partition function, omega. Determine fundamental relation of system, using Stirling's approximation Determine the energy and heat capacity for the system as a function of temperature using Stirling's approximation. Determine a fundamental relation for the Helmholtz potential of the system
130 mL of an HCl solution with pH of 3.90 is added to 200 mL of an HNO3 solution. The resulting solution is 1.40 mL. What was the pH of the original HNO3 solution?
A green leaf has a surface area of 2.00 cm^2. If solar radiation is 1030 W/m^2, how many photons strike the leaf every second? Assume three significant figures and an average wavelength of 504 nm for solar radiation.
a particle moving 30,816 km/hr has a wavelength of 725 nm. What is the mass of the particle?
How many grams of CaH2 (Molar Mass = 42.1 g/mol)are needed to generate 10.0 L of H2 gas if the pressure of H2 is 769 torr at 28.0°C?
Calculate [H+] and the pH of the following solutions
Explain how you arrived at this conclusions. Write a balance chemical equation for the reaction that occurs when sodium cyanide dissolves in water.
An unidenti?ed organic compound X, containing C, H, and O was subjected to combustion analysis. When 228.4 mg of pure X was burned 627.4 mg of CO2 and 171.2 mg of H2O were obtained. Determine the simplest formula of the compound X?
Caffeine is made up of 49.5% C, 5.2% H, 16.5%O, and 28.9% N. A solution made up of 8.25g of caffeine and 100.0 of benzene (d=0.887g/ml) freezes at 3.03C. Pure benzene (kf=5.10 degrees C/m) freezes at 5.50C.
2.9 mol Fe(OH)3 and 7.7 mol H2SO4 react according to the equation 2 Fe(OH)3 + 3H2SO4 ->Fe2(SO4)3 + 6H2O. If the limiting reactant is Fe(OH)3, calculate the amount of Fe2(SO4)3 formed.
Iron is obtained commercially by the reaction of hematite (Fe2O3) with carbon monoxide. How many grams of iron is produced when 25 mol of hematite reacts with 30 mol of carbon monoxide? with the balanced equation of Fe2O3 + 3CO = 2Fe + 3CO2
Determine the final temperature of the mixture. (Use 1g/mL as the density of water)
A sample of propane occupies 250.0 L at 125 kPa and 38 degrees celsius. Find its volume at 100.0 kPa and 95 degrees celsius.
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