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Your research group has developed a new type of engine, which is now undergoing laboratory tests. in the engine, a sample of an ideal gas with specific heat ratio γ is confined to a cylinder and carried through a closed cycle. the gas initially has pressure pi, volume vi, and temperature ti. its pressure is then tripled under constant volume. then, it expands adiabatically to its original pressure. finally, the gas is compressed isobarically to its original volume. what is the net work done by the engine for each cycle? (use any variable or symbol stated above as necessary.)
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