Answer : The maximum theoretical efficiency for a Carnot engine is 90.
Explanation :
Efficiency of carnot heat engine : It is the ratio of work done by the system to the system to the amount of heat transferred to the system at the higher temperature.
Formula used :
[tex]\eta \%=\frac{Q_h-Q_c}{Q_h}\times 100[/tex]
where,
[tex]\eta[/tex] = efficiency of carnot engine = ?
[tex]Q_h[/tex] = heat supplied by hot source = 200 C
[tex]Q_c[/tex] = heat supplied by cold source = 20 C
Now put all the given values in this formula, we get :
[tex]\eta \%=\frac{Q_h-Q_c}{Q_h}\times 100[/tex]
[tex]\eta \%=\frac{200-20}{200}\times 100[/tex]
[tex]\eta \%=90[/tex]
Therefore, the maximum theoretical efficiency for a Carnot engine is 90.