In a Stirling heat engine, a monatomic ideal gas at initial volume V1 and tempe…

Heat Engines

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In a Stirling heat engine, a monatomic ideal gas at initial volume V1 and temperature T1, takes in heat at a constant volume until its temperature is T2, and then expands isothermally until its volume is V2. It gives out heat at a constant volume until its temperature is again T1 and then returns to its initial state by isothermal contraction. Calculate the efficiency and compare with a Carnot engine operating between the same two temperatures.

e=(T2−T1)ln⁡(V2V1)32(T2−T1)−T2ln⁡V2V1e=\frac{(T_2-T_1)\ln(\frac{V_2}{V_1})}{\frac{3}{2}(T_2-T_1)-T_2\ln\frac{V_2}{V_1}}e=23​(T2​−T1​)−T2​lnV1​V2​​(T2​−T1​)ln(V1​V2​​)​; e>ecarnote>e_{carnot}e>ecarnot​

e=(T2−T1)ln⁡(V2V1)32(T2−T1)+T2ln⁡V2V1e=\frac{(T_2-T_1)\ln(\frac{V_2}{V_1})}{\frac{3}{2}(T_2-T_1)+T_2\ln\frac{V_2}{V_1}}e=23​(T2​−T1​)+T2​lnV1​V2​​(T2​−T1​)ln(V1​V2​​)​; e>ecarnote>e_{carnot}e>ecarnot​

e=(T2−T1)ln⁡(V2V1)32(T2−T1)+T2ln⁡V2V1e=\frac{(T_2-T_1)\ln(\frac{V_2}{V_1})}{\frac{3}{2}(T_2-T_1)+T_2\ln\frac{V_2}{V_1}}e=23​(T2​−T1​)+T2​lnV1​V2​​(T2​−T1​)ln(V1​V2​​)​; e<ecarnote<e_{carnot}e<ecarnot​

e=(T2−T1)ln⁡(V2V1)32(T2−T1)−T2ln⁡V2V1e=\frac{(T_2-T_1)\ln(\frac{V_2}{V_1})}{\frac{3}{2}(T_2-T_1)-T_2\ln\frac{V_2}{V_1}}e=23​(T2​−T1​)−T2​lnV1​V2​​(T2​−T1​)ln(V1​V2​​)​; e<ecarnote<e_{carnot}e<ecarnot​

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A cylinder contains Nitrogen gas (𝐶v = 20.8Jmol.K\frac{J}{mol.K}mol.KJ​  , 𝛾 = 1.4) at a pressure of 3 atm and a temperature of 250K. Its initial volume is 2.0 liters. The Nitrogen gas is next carried through the following processes:
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A cylinder contains a diatomic gas at a pressure of 3 atm and a temperature of 250K. Its initial volume is 4.0 liters. The gas is next carried through the following processes:
a. It is expanded isobarically to a temperature of 375K.
b. It is cooled down to 250K in an isochoric process.

Which one of the following statements best describes the operation of a heat engine?

For heat engine cycle is clockwise
 while for heat pump cycle is counterclockwise

An engine is found to have an efficiency of 0.40. If it does 200 J of work per cycle, what are the corresponding quantities of heat absorbed and rejected? 

In a Stirling heat engine, a monatomic ideal gas at initial volume V1 and tempe…

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