The drawing (not to scale) shows the way in which the pressure and volume change
ID: 1919780 • Letter: T
Question
The drawing (not to scale) shows the way in which the pressure and volume change for an ideal gas that is used as the working substance in a Carnot engine. The gas begins at point a (pressure = Pa, volume = Va) and expands isothermally at temperature TH=380 K until point b (pressure = Pb, volume Vb) is reached. During this expansion, the input heat of magnitude |QH| enters the gas from the hot resevoir of the engine. Then, from point b to point c (pressure = Pc, volume = Vc), the gas expands adiabatically. Next, the gas is compressed isothermally at temperature Tc=316 K from point c to point d (pressure = Pd, volume = Vd). During this compression, heat of magnitude |QC| is rejected to the cold resevoir of the engine. Finally, the gas is compressed adiabatically from point d to point a , where the gas is back in its initial state. The overall process a to b to c to d is called a Carnot cycle. Find |QC|/|QH|.
Explanation / Answer
We know the formulae for the efficiency of the Carnot's cycleis
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