Derive the formula for S, then do parts (a) and (b).
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The entropy S of a quantum ideal gas can be expressed in terms of the estimated occupation numbers
13. Isentropic expansion. (a) Show that the entropy of an ideal gas can be expressed as a function only of the orbital occupancies. (b) From this result show that Varis constant in an isentropic expansion of an ideal monatomic gas.
• (6.45) For a monatomic ideal gas, derive LO S = = Nkr In .N • And DE V и — = -krT in AN Nvo I TV Partition Function for an Ideal Gas . For one particle Z=e-E(s)/kp7 Vo = ve = (v2nimkot) • For N particles 1/VN V ve)
atnQ 3. Use the equation S klnQ + KTn)v to derive the expression for an ideal gas: as 1 au ov atnQ 3. Use the equation S klnQ + KTn)v to derive the expression for an ideal gas: as 1 au ov
How do I solve this problem? 11. (4 pts) (a) Use integration by parts to derive the formula: cos(cs (x) m cos(x) sin" (x) nsin (nsin (x) (b) (2 pts) Use the formula in part (a) to evaluate co (xxdx 11. (4 pts) (a) Use integration by parts to derive the formula: cos(cs (x) m cos(x) sin" (x) nsin (nsin (x) (b) (2 pts) Use the formula in part (a) to evaluate co (xxdx
The pressure, P in atmospheres (atm), of an ideal gas can be expressed as a function of volume, V in liters (L), and temperature, T in kelvin (K), is P(V, T) = nRT/V where n = 1 mol and R 0.08 are constants. Suppose the current volume and temperature of a gas behaving according to the ideal gas law are: V = 5 L and T = 300 K. (a) Compute the differential (or, equivalently, approximate DeltaP) for the given...
An electron in the N shell can have which of the following quantum numbers? A. s=12. B. l=1 C. ml=4 D. n=−4 E. ml=−3. A and C B and C C and D A, B and C A, B and E D and E
The equilibrium constant for the following reaction can be expressed by the empirical formula in the interval 445 K < T < 460 K. Use this expression to calculate ∆rH◦ and ∆rS ◦ at 450 K and derive an equation for ∆fH◦ of Ag2O (s) in this temperature range. Now use the following heat capacity data: to calculate ∆rH◦ , ∆rS◦ , and ∆rG◦ at 298 K. Would Ag2O be automatically decomposed when exposed to the atmosphere (the partial pressure...
8. (10 pts) By definition L+S=J. Express L-S in terms of the quantum numbers i, e, s
8. (10 pts) By definition L+S =J. Express L.S in terms of the quantum numbers i. e, s