Question

a heat engine does 2000j of work while exhausting 600j of heat to the cold reservoir waht is the engine's efficency

Answer 1

Given that a heat engine does 2000 J of work while exhausting 600 J of heat to a cold reservoir. Find find the efficiency of the engine.

What is a heat engine?

A heat engine coverts heat energy into some form of usable work.

The formula for a heat engines efficiency is as follows...

`\bold{e=(W)/(Q_(high)) }`

We were given
`Q_(low)=600 \ J`. We need to find
`Q_(high)`. Use the following formula...

`\boldQ_(high)`

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`W=|Q_(high)|-|Q_(low)| \Longrightarrow 2000=Q_(high)-600 \Longrightarrow \boxed{Q_(high)=2600 \ J}`

Now for the efficiency.

`e=(W)/(Q_(high)) \Longrightarrow e=(2000)/(2600) \Longrightarrow e=0.7692\Longrightarrow \boxed{\boxed{e=76.92 \ \%}} \therefore Sol.`

Thus, the efficiency of the engine is found.