An ideal gas is taken from an initial state i to a final state f along two different paths as shown in the diagram below. For path 1 (abcd), the gas undergoes (in order) adiabatic expansion, isothermal expansion, adiabatic compression, and isothermal compression. The magnitudes of the work done during the four steps of path 1 are 31.0 J, 29.8 J, 67.6 J and 9.28 J, respectively. If the gas instead goes along path 2 (efgh) to get from i to f, what is the change in internal energ

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