Question: IRREVERSIBLE Adiabatic gas cycle Consider the cyclic adiabatic compression and expansion of one mole of a monoatomic ideal gas (c = 3/2) at a temperature

 IRREVERSIBLE Adiabatic gas cycle Consider the cyclic adiabatic compression and expansion

IRREVERSIBLE Adiabatic gas cycle Consider the cyclic adiabatic compression and expansion of one mole of a monoatomic ideal gas (c = 3/2) at a temperature T, from an initial volume of V, to an intermediate compressed volume of v./2 and then back again to the final volume of V., so that V. V./2 V.. The gas is compressed irreversibly from an initial volume of V, and temperature T, to an intermediate volume of V./2 using a large constant external pressure Pext = Peig and then expanded irreversibly back to the final volume V. against a smaller constant external pressure Pext = PSMALL Calculate the total work done on the system Wtot, the change in system energy AU, the change in system temperature AT, and change in system entropy As of the overall irreversible cycle V. V./2 V. Give your answers in terms of the external pressure difference Ap = Pbig - PSMALL, initial temperature To, and volume V. (plus any necessary physical constants). Assume that Peig is large enough to be able to compress the gas as described. [Hint: Only the overall cyclic changes are re- quested.]

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