Physical Chemistry 2st Midterm Test 2017 上.pdf

Physical Chemistry 2st Midterm Test 2017 上.pdf - Physical...

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Physical Chemistry 2 st Midterm Test (2017/11/16) 1. Please write explain of noun (4 points) a. Please describe what is “First Law of Thermodynamics”? b. Please describe what is “Second Law of Thermodynamics 2. The critical constants of ethane are p c = 48.20 atm, V c = 148 cm 3 mol −1 and T c = 305.4 K. Calculate the van der Waals parameters, a and b of the gas and estimate the radius of the molecules. Hint: (6 points) 3. a. Please prove the relation dH=dq (at constant pressure, no addition work), starting from H+dH=U+dU+(p+dp)×(V+dV). (5 points) b. Please derive C p C v = nR, starting from H = U + PV. (3 points) 4. a. Derive an expression for the isothermal compressibility of a perfect gas. (hint: isothermal compressibility T P V T V 1 - ) (3 points) b. The isothermal compressibility of lead at 293K is 2.21×10 -6 atm -1 . Calculate the pressure that must be applied in order to increase its density by 0.1 percent. hint: A density increase of 0.10 per cent means ΔV/V= −0.001. (4 points) 5. Given that =1.11 K atm -1 for carbon dioxide, calculate the value of its isothermal Joule-Thomson coefficient. Calculate the energy that must be supplied as heat to maintain constant temperature when 10.0 mol CO 2 flows through a throttle in an isothermal Joule-Thomson experiment and the pressure drop is 75 atm. Hint: m p C , T P H m (4 points) 6. a. Please derive V f T f c = V i T i c , c = C v /nR under an adiabatic expansion process. Hint: (4 points) b. A sample of nitrogen of mass 10g at 23 o C is allowed to expand reversibly and adiabatically from 400cm 3 to 4.00dm 3 . What is the work done by the gas? (C v of N 2 is 20.8 JK -1 mol -1 ) (4 points) 7. a. A sample consisting of 1.00 mol of perfect gas atoms, for which C
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