A source of heat at 1000 K transfers 1000 kW of power to a power generation device, while producing 400 kW of useful work. Determine the second law efficiency of the system, if the environment is at 300 K.

The value is

Explanation:

From the question we are told that

    The temperature of the heat source is

    The amount of power transferred is  

      The work produced is  

       The temperature of the environment

Gnerally the Carnot efficiency of the system is mathematically represented as

=>    

=>      

Generally the first  law efficiency of the system is mathematically represented as

=>          

=>        

Generally the second  law efficiency of the system is mathematically represented as

=>              

=>              

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s