Consider a sample containing 5.00 moles of a mona-tomic ideal gas that is taken from state A to state B by the following two pathways:

For each step, assume that the external pressure is constant and equals the final pressure of the gas for that step. Calculate q, w, ΔE, and ΔH for each step, and calculate overall values for each pathway. Explain how the overall values for the two pathways illustrate that ΔE and ΔH are state functions, whereas q and w are path functions.

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Pathway one: PA 3.00 atm1 Pc 3.00 atm Vc = 55.0 L PA- 6.00 atm V 20.0L PD = 6.00 atm VD 15.0L PB = 6.00 atm Vi 20.0L 2 PA = 3.00 atm Va=15.0 L Pathway two: 1 - 4