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what is the solution to these problems? 1.A heat engine operates between two res

ID: 1672942 • Letter: W

Question

what is the solution to these problems? 1.A heat engine operates between two reservoirs attemperatures of 18°C and304°C. What is the maximumefficiency possible for this engine?
% A steam engine has a boiler that operates at 305°F, and the temperature of the exhaust is130°F. Find the maximum efficiencyof this engine.
% What is the change in entropy of 4.0 kg of liquid water at 100°C as it changesto steam at 100°C?
J/K
what is the solution to these problems? 1.A heat engine operates between two reservoirs attemperatures of 18°C and304°C. What is the maximumefficiency possible for this engine?
% A steam engine has a boiler that operates at 305°F, and the temperature of the exhaust is130°F. Find the maximum efficiencyof this engine.
% What is the change in entropy of 4.0 kg of liquid water at 100°C as it changesto steam at 100°C?
J/K

Explanation / Answer

(1).Given T ‘ = 18 oC = 18 + 273 = 291 K

              T =304 oC = 304 + 273 = 577 K

Maximum efficiency n = 1-( T ‘ / T )

                                     = 0.4956= 49.56 %

(2). Given F = 305 oF

We know ( F-32) / 180 = ( T-273) / 100

            (305-32) / 180 = ( T -273 ) / 100

                       T-273 = 151.6666

                              T = 424.666 K

Anf F ‘ = 130 oF

(130-32) / 180 = ( T ‘ – 273 ) / 100

T ‘ = 327.44 K

So, maximum effiecncy n ‘ = 1-( T ‘ / T )

                                           =0.2289 = 22.89 %

(3).. mass m = 4 kg

Chang ein entropy ds = mL / T

Where T =100 oC = 373 K

    L = latent heat of vaporization = 540 *4186 J / kg

Plug th values wegt dS = 24240.6 J / K