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Maxwell-Boltzmann distribution
In the near future we will derive the Maxwell-Boltzmann distribution for the velocities (or the momenta) of gas particles. The probability density for the x-component of the velocity is
1. What is the value of the normalization constant A?
2. What is the probability density for the velocity v = (vx, vy, vz)?
3. What is the probability distribution (probability density) of the speed (magnitude of the velocity)?
the material hoist and the load have a total mass of 900 kg and the counterweight c has a mass of 150 kg. at a given
low level heat energy is exhausted continually to a large body of water at the rate of 22mjhour. assuming the lake
.water is the working fluid in a vapor power cycle. the pressure and temperature at the turbine inlet are 1600 psia and
Calculate the total amount of energy (J/m2) that will be transferred from the asphalt over a 30-min period in which the surface is maintained at 20°C.
Consider nodal configuration 2 of Table 4.2. Derive the finite-difference equations under steady-state conditions for the following situations.
The 3-in.-diameter rod carries the 4000-lb · ft bending moment and a torque T. The yield stress of the material is 60 ksi. Determine the largest allowable value of T using the maximum distortion energy theory and a factor of safety of 2.
two kg of saturated liquid water at 1 bar is compressed to 25 bar and 100degc in a water pump. determine the change in
A model rocket is launched from point A with an initial velocity v0 of 86 m/s. If the rocket's descent parachute does not deploy and the rocket lands 104 m from A
Air at 3.5MPa and 500 C is expanded in an adiabatic gas turbine to 0.2MPa. Calculate the maximum work that this turbine can produce, in kJ/kg.
car is traveling around a curve with radius 2300ft at a speed of 86mph. the car suddenly accelerates at a rate of
a turbine accepts superheated steam at 800 psia and 1200degf and rejects it as saturated vapor at 2 psia. calculate the
determine the volume required to store 25kg of ethane at 320kpa and 35 degrees celsius. if the temperature rises to 65
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