Andrew Mason said:What is v* supposed to represent? What kind of function is F?
AM
It looks like you have the right idea. But we can't say for sure, and can't see what went wrong, if you don't show your work:j2dabizo said:v* = most probable speed
http://en.wikipedia.org/wiki/Maxwell–Boltzmann_distribution
I assume you use the maxwell speed distrtibution equation but for f(v) you but in f(v*) and solve the equation using v*. Then after you find the answer form f(v*) i guess you divide it by two to get the left side of the 2f(v)=f(v*) equation?
If so i am still not comming to the correct answer..please help
Something is wrong, the f(v) expression you wrote should have another factor of v2 in it.j2dabizo said:The maxwell speed distribution equation is given as
F(v) dv = 4[itex]\pi[/itex]Ce-1/2Bmv2dv
m=mass of He
v=velocity
C= (Bm/2[itex]\pi[/itex])3/2
B(beta)= (kT)-1; with k(constant) = 1.38E-23J/K
we know v*= [itex]\sqrt{}2kT/m[/itex]; k is the constant from above; T is tempreture in K; m is mass of He
For He @ 328K, the v*(most probable speed) I calculated was 1167.34 m/s.
An ideal gas is a theoretical gas that is made up of particles that have no volume and do not interact with each other. It follows the ideal gas law, which describes the relationship between pressure, volume, temperature, and number of moles of the gas.
To solve for two speeds of an ideal gas, you will need to use the Maxwell-Boltzmann distribution, which is a probability distribution that describes the speeds of particles in a gas at a given temperature. This distribution can be used to find the most probable speed and the average speed of the gas particles.
Temperature is a crucial factor in solving for two speeds of an ideal gas because it directly affects the kinetic energy of the gas particles. The Maxwell-Boltzmann distribution is dependent on temperature, and a change in temperature will result in a change in the speeds of the gas particles.
Yes, two speeds of an ideal gas can be the same. The Maxwell-Boltzmann distribution shows a continuous range of speeds, so it is possible for two particles to have the same speed at a given temperature. However, this is less likely to occur as the number of particles in the gas increases.
The units of measurement for the speeds of an ideal gas are typically meters per second (m/s) or centimeters per second (cm/s). However, the units may vary depending on the system of units used for other variables in the problem.