Physical Chemistry I: Thermodynamics & Kinetics

Use this for “1.50 mol of a diatomic ideal gas at 400 K expands reversibly and adiabatically from 5 L to 15 L. Find its final temperature and w.”

Use this for “2.50 mol of liquid ethanol (Cₚ = 112.3 J/(mol·K)) warms at constant pressure from 293.15 K to 333.15 K. Find ΔH and ΔS.”

Use this for “A reaction has ΔH = −57.2 kJ/mol at 298.15 K and ΔCₚ = +12.6 J/(mol·K). Find ΔH at 400 K.”

Use this for “A gas goes from state 1 to state 2 by two different routes. Which of q, w, ΔU and ΔS are the same for both?”

Use this for “Benzene melts at 278.7 K with ΔHfus = 9870 J/mol, and it grows by 10.3 cm³/mol as it melts. Find the slope dP/dT of its melting line.”

Use this for “Hexane (151 torr) and heptane (45.8 torr) are mixed at 25 °C with xₕₑₓₐₙₑ = 0.350. Find the total vapor pressure and the vapor’s mole fraction of hexane.”

Use this for “A mixture of ethanol and water boils, with liquid and vapor present. How many intensive variables can be changed on their own?”

Use this for “Kp = 0.148 for N₂O₄ ⇌ 2NO₂ at 25 °C. At a total pressure of 1.00 bar, what fraction of the N₂O₄ dissociates, and what are the partial pressures?”

Use this for “Find the ionic strength of 0.010 M CaCl₂ in water at 25 °C, and the mean activity coefficient from the Debye–Hückel limiting law.”

Use this for “A reaction has ΔH‡ = 65.1 kJ/mol and ΔS‡ = −50 J/(mol·K). Find ΔG‡ and the rate constant at 298.15 K.”

Use this for “For A + M ⇌ A′ + M then A′ → P, k₁ = 10⁶ M⁻¹s⁻¹, k₋₁ = 10⁹ M⁻¹s⁻¹ and k₂ = 10⁶ s⁻¹. Find kᵤₙᵢ at [M] = 10⁻³ M, and the high-pressure limit.”

Use this for “N₂ has B = 1.998 cm⁻¹. Find its rotational partition function and its most populated rotational level at 500 K.”

Use this for “Over a mixture with xA = 0.250 the vapor holds 41.5 torr of A; pure A gives 120 torr. Find the activity and activity coefficient of A.”

Use this for “Air holds N₂ at 0.78 atm. With kH = 6.1 × 10⁻⁴ mol/(L·atm) at 25 °C, find the N₂ dissolved in water.”

Use this for “Argon atoms (39.95 g/mol) are 340 pm across. Find their mean free path and collision frequency at 300 K and 5000 Pa.”