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# Quiz4 - κ is the isothermal compressibility(b For mercury...

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Chemistry 520 Winter Quarter 2008 Take Home Quiz 4 This quiz is due no later than 4 pm on Wednesday, Feb. 27, 2008 in room 0048 McPherson lab. Write down first the mathematical equation with symbols and leave the numerical substitution at the end. Submit your answers on single sided paper. 1. State whether or not the following processes can be labeled spontaneous under the following conditions. (a) A process in which Δ H is positive at constant V and p . (b) An isobaric process in which Δ U is negative and Δ S is 0. (c) An adiabatic process in which Δ S is positive and the volume does not change. (d) An isobaric, isentropic process in which Δ H is negative. 2. Calculate the change in the Helmholtz energy for the reversible isothermal compression of 1 mole of an ideal gas from 100.0 L to 22.4 L. Assume that the temperature is 298 K. 3. What is ( ∂S/∂V ) T for a gas that follows a van der Waals equation of state? 4. (a) Show that ∂p ∂T
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Unformatted text preview: κ is the isothermal compressibility. (b) For mercury, α = 1 . 82 × 10-4 /K and κ = 3 . 87 × 10-5 /atm at 20 ◦ C. Determine how entropy changes with volume under isothermal conditions at this temperature. 5. Derive ∂ ± Δ G T ² ∂ ± 1 T ² p = Δ H from ∂ (Δ G/T ) ∂T ! p =-Δ H T 2 . 6. By approximating ∂ ± Δ G T ² ∂ ± 1 T ² p = Δ H as Δ ± Δ G T ² Δ ± 1 T ² p ≈ Δ H, predict the value of Δ G (100 ◦ C, 1 atm) of the reaction 2 H 2 (g) + O 2 (g)-→ 2 H 2 O( ‘ ), given that Δ G (25 ◦ C, 1 atm) =-474 . 36 kJ and Δ H =-571 . 66 kJ. Assume constant pressure and Δ H . 7. What is the change in G for a process in which 0.022 mole of an ideal gas goes from 2505 psi (pounds per square inch) to 14.5 psi at room temperature of 295 K?...
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