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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.
What volume of 0.150M HClO4 solution is needed to neutralize 45.00mL of 8.80×10^-2 M NaOH?
A gas sample has an original volume of 760 ml when collected at 720 mm and 25degC. What will be the volume of the gas sample if the pressure increases to 820 mm and the temperature increases to 30degC?
A rectangular block has dimensions 2.9 cm 3.5 cm 10.0 cm. The mass of the block is 615.0 g. What are the volume and density of the block?
A 4.20 g nugget of pure gold absorbed 290 J of heat. What was the final temperature of the gold if the initial temperature was 25.0°C? The specific heat of gold is 0.129 J/(g·°C).
He was surprised that most of the white solid melted sharply between 121 and 122 C but that a small amount remained unmelted even at temperatures above 200 C. Explain this behavior.
the process (A-> B is first order with a half-life of 0.21 seconds. How long would it take for 15.0M of A to decrease to 0.25 M?
The reaction between sulfur dioxide and oxygen is exothermic. 2 SO2 (g) + O2 (g) 2 SO3 (g) Which of the following factors will cause the equilibrium to be shifted to the right
When 0.78 g of an unknown gas in contained solely in a 560 mL container, the pressure is 780 Torr at 5 degrees Celcius. What is the molar mass of the gas in grams/mole?
If an analytical method has been developed and the retention time for a particular anabolic steroid has been determined, how might you use this method to determine the possibility of the use of anabolic steroids by an athlete.
How many moles of sulfur dioxide, SO2 are contained in a 5.0 L container at STP?
Compute the composition of the crystals and the yield of the process. Also determine the composition of the mother liquor?
A 50.0 mL sample of aqueous Ca(OH)2 requires 32.66 mL of a .812 M nitric acid for neutralization. Calculate the concentration (molarity) of the original solution of calcium hydroxide.
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