Question

A heat engine exhausts 6000 J of heat while performing 2000 J of useful work.

Determine the efficiency of the engine

Answer 1

The efficiency of a heat engine that exhausts 6000 J of heat while performing 2000 J of useful work is 33.33%.

Step-by-step explanation:

To determine the efficiency of a heat engine, we use the formula:

Efficiency (e) = Useful Work Output / Heat Input

In this case, the engine performs 2000 J of useful work and exhausts 6000 J of heat. Therefore, the efficiency (e) is calculated as follows:

e = 2000 J / 6000 J

e = 0.3333 or 33.33%

Thus, the efficiency of the engine is 33.33%.

Answer 2

Step-by-step explanation:

The efficiency can be calculated by:

`\eta = (Q_(E)-Q_(W))/(Q_(E))=(6000-2000)/(6000)=(2)/(3)`

or we can say it becomes approximately 66.7%