For a classical ideal gas given the square root of p^2 in the amount a(mkt) then the value of a is
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- V₁₂: V₁ = 4:1 V₁ V₂ There are 6 molecules of a gas in V₂ and none in V₁. Now a hole i made in partition. Find the probability of finding 3 molecules on each side of the partition.Imagine a photon gas at an initial temperature of T = 1.4 K. What is the temperature of the photon gas (in K) after it has undergone a reversible adiabatic expansion to 2 times its original volume?Consider N non interacting particles in a gas are in thermal equilibrium and each particle can be in any one of the possible non-degenerate states of energy 0 and 28. Find the probability of each particle when temperature of the gas (T) is very much E larger than the value of (a) (b) 1 alm (d) م اما م ادا
- The exact differential for the Gibbs energy is given by dG = -SdT + VdP. The form of this differential implies which of the following relationships? O (7),- (), ƏG Әт ƏG др P T (37), - - (-), P T as ( x) - (*), = др T (327), = -(0)₁ == P TFor a gas of nitrogen (N2) at room temperature (293 K) and 1 atmosphere pressure, calculate the Maxwell-Boltzmann constant A and thereby show that Bose-Einstein statistics can be replaced by Maxwell-Boltzmann statistics in this case.Problem 2) Consider the following Maxwell Boltzmann distribution of molecular speeds: P(v) = 4( m 27kBT. mp² v²e 2kgT To calculate average values for say f(v) (function of v) one just integrates f(v) with P(v)dv from zero to infinity = P(v)f(v)dv, where signifies average of f(v). Of course, the distribution should be normalized: P(v)dv=1, (is a requirement for any probability distribution). a) Check the last equation. b) Calculate the average of v. c) Calculate the average of v². d) Calculate from c) the RMS value of the speed. e) Calculate the most probable value of v. f) Square the results of b, d and e and rank them from smallest to the largest value.