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all right so we understand now the carnot cycle which iamp;#39;ve drawn a little sketch of over here the idea behind the the carnot cycle is i do a reversible isothermal expansion so this is an isotherm hereamp;#39;s another isotherm isothermal expansion followed by a reversible adiabatic expansion and then an isothermal followed by an adiabatic compression in the process of going around that cycle weamp;#39;ve managed to turn some heat into work somehow so weamp;#39;ve describing that another way thereamp;#39;s some heat associated with this process the reversible isothermal expansion both of these expansion steps do some work the gas expands pushes back on the atmosphere does some work on the atmosphere that work is paid for either by absorbing heat from the surroundings or by using some of the energy of the gas itself when it cools down in the adiabatic expansion and then to get back where iamp;#39;ve started i need to the cold reversible isothermal expansion step has