Show that the volume dependence of internal energy is written as (OV) Cp - Cy αν -P.
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Q: (1) For a gas that follows equation of state pV = f(T), show that (37) = 1df₁ V av ƏT Р = 1 df p dT
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- A 0.825 mol sample of NO, (g) initially at 298 K and Molar heat capacity at constant volume (Cy,m) R Туре of gas 1.00 atm is held at constant volume while enough heat is applied to raise the temperature of the gas by 10.3 K. atoms Assuming ideal gas behavior, calculate the amount of heat linear molecules (q) in joules required to affect this temperature change and nonlinear molecules 3R the total change in internal energy, AU. Note that some where R is the ideal gas constant books use AE as the symbol for internal energy instead of AU. q = J AU = JThe variation of the molar Gibbs free pn- ergy of a substance with temperature and pressure is given by () T5/2 G = -T In Determine S, H, V, U and F.Consider a system with 1000 particles that can only have two energies, ɛ, and with ɛ, > E,. The difference between these two values is Aɛ = ɛ, -& . Assume that gi = g2 = 1. Using the %3D %3D equation for the Boltzmann distribution graph the number of particles, ni and m, in states & n2, E and E, as a function of temperature for a Aɛ = 1×10-2' J and for a temperature range from 2 to 300 K. (Note: kg = 1.380x10-23 J K-!. %3D %3D (s,-s,) gLe Aɛ/ n2 or = e n,
- The Z factor is approximately the same for all gases at the same reduced temperature and reduced pressure.The energy generation rate for the CNO thermonuclear cycle is given by the following propor- tionality relation 1/37 exp[-152 (109)]. T ECNO X T-2/3 exp-152 If the energy generation rate is approximated by a power law as e x Tº at a given temperature T, then a is given by a = din. Hence show that ECNO x T¹8 at T = 2.0 × 107 K. In T1.00 mol of an ideal gas at 49 K is expanded isothermally from an initial pressure of 3.00 atm to a final pressure of 1.00 atm in two ways: (a) reversibly, (b) against a constant external pressure of 1.00 atm. Determine the values of g, w delta U, delta H, delta S, delta Ssr ("sur” surroundings), and AStot for each path.