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- The chemical potential of an ideal gas Use as ƏN E,V V S(E,V, N) = Nk| ln N 3 In 2 3Νπh? a. Derive the dependence of the chemical potential u on E, V, and N for an ideal classical gas. b. Use 3 E = -NkT. to determine µ(T, V, N)4. Evaluate the following integrals: (a) [[e * - sin(107zx)]5(x–1)dx, (b) [e8"(ax)dx . -2xCan someone explain how the triple products are reduced? P 0 Q 2 L MOL = [(₁ + r₂) X (F₁+F₂)] =λ (r₁ XF₁) +2. (r₁ × F₂) +λ (r₂ ×F₁) + λ. (r₂ × F₂) A F₂
- 5.1 According to quantum mechanical selection rules: 1 = 0 ⇒ m₁ = 0 and L₂ = 0. Determine m₂ and L₂ when I = 1. (04)x = x₁ + vot + 1²/1at², v = v₁ + at, (v²) = (v₂)² + 2a^x, (νο)2 2 1 Ax = (0+¹) At, Atrapezoid = (₁+²) h, Atriangle = bh 2 2 Introduction to the Problem On December 8, 2005 Southwest Airlines flight 1248, a Boeing 737-700 class jet with 103 persons aboard, attempted to land on a snow-covered runway at Chicago's Midway Airport. Tragically, the attempt resulted in the death of a child on the ground, as the plane slid far enough beyond the runway to leave airport property and collide with a car (in which the child was a passenger) on the road beyond. Both the analysis and prevention of accidents such as this rely on the kinematics of one-dimensional motion. In this problem we will examine how the National Transportation Safety Board (NTSB) arrived at the conclusion that "the probable cause of a fatal runway overrun...was the pilots' failure to use available reverse thrust in a timely manner to safely slow or stop the airplane after landing." (NTSB press release SB-07-48). The NTSB report…!
- What is the Doppler-broadened linewidth of the vibrational transition at 2308 cm−1 in 1H127I at 400 K?Please asap16. 23 567 Electron in 6th excited state in Li** (at rest) jumps. to 2nd excited state. h, R, m are Planck's constant, Rydberg constant, mass of Li (ion). Find the speed acquired by Litt (ion). ++ ++ 3hR 3hR (1) (2) 4m 8m 40 hR 36 hR (3) j (4) 49 m 98 m
- If A =〖yz〗^2 i-3xz^2j +2xyz k, B = 3xi +4zj -xyk and ∅= xyz, findd^2/dxdy [Ax (B.∅)] at P(1, 1, 1)Figure 1 of 1 > Energy (J) 4. 3. 2- 1- 1,2-1 +. -1 -21 K, + U, +Wt= K, + U, + AE %3D ext |||3. The classical partition function of a gas of noninteracting indistinguishable particles is written as exp{- N! 2m Z= where N is the number of particles of mass m, r, and p, are the position and the momentum of the ith particle, B = 1/(kpT), and Tis the temperature of the gas. The volume of the gas is V. (a) Find the analytic expression of the partition function of the gas. (b) Obtain the total mean energy E of the gas from the partition function. (c) Obtain the entropy S of the gas from the partition function and the total mean energy. Lexp(-x³xdx = Va Hint: