10.13 Show that for a gas obeying the van der Waals equation (P+ a/v²) (v – b) = RT, with cy a function of T only, an equation for an adiabatic process is T(v – b)R/cv const.
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- Show that for an ideal gas (@T/ƏV)u = 0, and (@T/ƏP)H= 0.Part A: 10 moles of ideal gas initially at 10 atm and 250 K is expanded isothermally and reversibly to a final pressure of 2 atm. Calculate W, AU, and Q in Joules. Part B: The same gas in problem A, starting in the same initial state, is expanded isothermally against a constant external pressure of 2 atm, to a final pressure of 2 atm. Calculate W, AU, and Q in Joules for this irreversible process. Part C: The same gas in part B, starting in the same initial state, is expanded isothermally to a final pressure of 2 atm. The process is carried out in 4 stages. First the gas is expanded against a constant pressure of 8 atm, to 8 atm. Then the gas is expanded against a constant pressure of 6 atm, to 6 atm. Then the gas is expanded against a constant pressure of 4 atm, to 4 atm. Finally, the gas is expanded against a constant pressure of 2 atm, to 2 atm. Calculate W, AU, and Q in Joules for the 4-step process.Calculate the number of microstates that are available in a single atom of carbon in graphite.The standard molar entropy (S°) of carbon is 5.7 J/(mol · K) and the Boltzmann constant (kB) is1.381 × 10 ―23?/?. HELP PLEASE
- i need the answer quickly(12.1) In an adiabatic expansion of an ideal gas, pV is constant. Show also that TV7-1 = constant, (12.22) T = constant x p¹-1/. (12.23)The probability of a system being in the ith mi- crostate is P₁ = e/Z, (14.56) where E is the energy of the ith microstate and ẞ and Z are constants. Show that the entropy is given by S/kB = In Z+BU, where U=PE is the internal energy. (14.57)
- An ideal gas is confined to a constant volume container and heated from a pressure of 1 atm at room temperature to a pressure of 5 atm. What is the final temperature. Thank you for the help. I got 297K but I do not think that is it.If we know that the internal energy of the monoatomic ideal gas remains constant during the process in B to C, what must be the pressure Pc at point C in terms of the original pressure P0.hi, please I need answer for a,b and c.
- Hi, could I get some help with this micro-macro connection physics problem involving root mean square speed? The set up is: For an atom in an ideal gas with rms speed in one direction, vx = 100 m/s, and mass m = 6.66e-27 kg, what is the temperature T in kelvin (K) to four digits of precision if Boltzman constant kB = 1.38e-23 J/K? Thank you.A flexible box contains 5.60 grams of nitrogen gas (N2) which is maintained at a constant pressure of 1.35 x 10$ Pa. The box is placed over a fire, causing the volume to increase from 0.00200 m3 to 0.00300 m³. Find the increase in temperature of the gas. (For N2 molar mass M = 28 grams.)