1 answer

Thermodynamics (PChem)

Question:

A sample consisting of 1.45 mol of perfect gas atoms is taken through the following cycle:
Step 1: Constant pressure change in volume from 22.44 L to 44.88 L.
Step 2: Constant volume change in pressure from 1.00 bar to 0.35 bar
Step 3: Pressure and Volume change back to 1.00 bar and 22.44 L.
(a) Determine the temperature at all three points in this cycle.
(b) Calculate q, w, ΔU, ΔH, ΔS, ΔG, and ΔA for each step and for the overall cycle. If a numerical answer cannot be obtained, then determine if the function isgreater than, less than or equal to zero.


Answers

PV=nRT
Step 1: P= constant, so its T=PV/nR,

work(w) = -PdV

Heat (q) = dH = nCpdT

dU = q + w

Step 2: Constant Volume, T=PV/nR (using final voume for Step 1)

work (w) = -PdV = 0

dU = nCvdT

Heat (q) = dU

(enthalpy change) ΔH = dU + VdP

Step 3: P=1bar V=22.44L 

work (w) = P1V1 - P4V4

.

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