| No. | Marks | |-----|-------| | 1. – For 1 mol of a gas with (a = 1.36;\textPa·m^6) and (b = 3.18\times10^-5;\textm^3), calculate the pressure at (T = 300;\textK) and (V = 2.5\times10^-2;\textm^3). Compare with the ideal‑gas pressure and comment on the deviation. | 10 | | 2. Reaction equilibrium – At 500 K the equilibrium constant for (\mathrmA(g) + 2B(g) \rightleftharpoons C(g)) is (K_p = 4.2). If the initial partial pressures are (p_\mathrmA = 0.30;\textatm), (p_\mathrmB = 0.50;\textatm), and (p_\mathrmC = 0), determine the equilibrium partial pressures. | 10 | | 3. Statistical thermodynamics – For a linear rigid rotor with rotational constant (B = 1.5;\textcm^-1), compute the rotational partition function (q_\textrot) at 298 K. Use the high‑temperature approximation and give the numerical value. | 8 | | 4. Quantum tunnelling – A particle of mass (m = 9.11\times10^-31;\textkg) encounters a rectangular barrier of height (V_0 = 5;\texteV) and width (a = 0.3;\textnm). Estimate the transmission probability using the WKB approximation for an incident energy of (E = 1;\texteV). | 12 | | 5. Molecular dynamics – In a Lennard‑Jones simulation the reduced temperature is (T^* = 1.2). If the time step is (\Delta t^* = 0.005) (in reduced units), calculate the real‑time step in femtoseconds for argon ((\sigma = 3.4;\textÅ), (\varepsilon/k_B = 119.8;\textK), (m = 39.95;\textu)). | 5 |
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Beyond just the numbers, the manual offers "friendly advice" and comments to help students understand the "where do I start?" aspect of daunting problems. Chemistry.Com.Pk Comparison: Student vs. Instructor Manual Student Manual focuses on "(a)" exercises and odd problems, the Instructor's Solutions Manual Compare with the ideal‑gas pressure and comment on
: When dealing with entropy or Gibbs energy, remember they are state functions—meaning the change depends only on initial and final states, not the path taken [27, 31]. If the initial partial pressures are (p_\mathrmA = 0