A heat engine that rejects waste heat to a sink at 510 R has a thermal efficiency of 25 percent and a second-law efficiency of 50 percent. Determine the temperature of the source that supplies heat to this engine.

Respuesta :

Answer:

The correct answer is "1020 K".

Explanation:

The given values:

[tex]n_{th} = 0,25[/tex]

[tex]n_2=0.50[/tex]

Now,

⇒ [tex]n_{th}(rev) = \frac{n_{th}}{n_2}[/tex]

By putting the values, we get

                 [tex]=\frac{0.25}{0.50}[/tex]

                 [tex]=0.50[/tex]

As we know,

⇒ [tex]n_{th} (rev)=1-\frac{TL}{TH}[/tex]

or,

⇒ [tex]TH=\frac{TL}{1-n_{th} (rev)}[/tex]

          [tex]=\frac{510}{1-0.50}[/tex]

          [tex]=\frac{510}{0.5}[/tex]

          [tex]=1020 \ K[/tex]