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PHS1110 Columbia Southern Unit VIII Carnot Efficiency And Energy Questions

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1. The efficiency of a Carnot engine is e=1-Tc/TH, where Tc is a temperature of the cold reservoir and TH is a temperature of the hot reservoir. What is the condition to have 100% efficiency? Ans: The efficiency tend towards 100% when Tc is very less compared to TH. For 100% efficiency, the cold reservoir should be at absolute zero 2. Suppose the work done to compress a gas is 100 J. If 70 J of heat is lost in the process, what is the change in the internal energy of the gas? Ans: 𝑑𝑄 = 𝑑𝑊 + 𝑑𝑈 −70 = 100 + 𝑑𝑈 𝑇ℎ𝑒𝑟𝑒 𝑑𝑈 = −170 𝐽 𝐶ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑖𝑛𝑡𝑒𝑟𝑛𝑎𝑙 𝑒𝑛𝑒𝑟𝑔𝑦 𝑖𝑠 −170J 3. An engine's fuel is heated to 2,000 K and the surrounding air is 300 K. Calculate the ideal efficiency of the engine Ans: The ideal efficiency is Carnot Efficiency 𝜂 = 1−( 4. 𝑇𝑐 300 )=1 ...
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