Question

A heat engine operates between two temperatures such that the working substance of the engine absorbs 5000 J of heat from the high-temperature bath and discharges 3000 J to the low-temperature bath. The rest of the energy is converted into mechanical energy of the turbine. Find (a) the amount of work produced by the engine and (b) the efficiency of the engine.

a) (a) 2000 J, (b) 40%
b) (a) 2000 J, (b) 60%
c) (a) 3000 J, (b) 40%
d) (a) 3000 J, (b) 60%

Answer 1

The amount of work produced by the engine is 2000 J and the efficiency of the engine is 40%.

Step-by-step explanation:

a) To find the amount of work produced by the engine, we can use the First Law of Thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system. In this case, the heat added to the system is 5000 J and the heat discharged is 3000 J. Therefore, the work produced is 5000 J - 3000 J = 2000 J.

b) The efficiency of the engine can be calculated using the formula: efficiency = (work produced / heat added) x 100%. Plugging in the values, we get efficiency = (2000 J / 5000 J) x 100% = 40%.