Using Matlab, solve the following: In thermodynamics, the Carnot efficiency is t
ID: 2326108 • Letter: U
Question
Using Matlab, solve the following:
In thermodynamics, the Carnot efficiency is the maximum possible efficiency of a heat engine operating between two reservoirs at different temperatures. This efficiency, n, is defined as:
n = 1-Tc/Th
where Tc and Th are the absolute temperatures of the cold and hot reservoirs, respectively. Instead of user inputs, use the following relationships for the absolute temperatures.
Tc = 275 + randi(150) Kelvin
Th=300+randi(400) Kelvin
Your code should error-check the values such that Th is greater than Tc and switch the two if needs as Th should be greater than Tc, then calculate the maximum efficiency. You should also make sure that the two temperatures are not within 50 degrees of each other, repeat the random number sequence until this is the case.
Explanation / Answer
a= 1; % counter
while a<200 % to limit the iterations to 200 times
T1 = 275 + randi(150); %Kelvin
T2 =300+randi(400) ; % Kelvin
if T1 > T2
Th = T1; Tc = T2;
else
Th = T2; Tc = T1;
end
if (Th-Tc >50 )
n = 1- (Tc/Th);
fprintf('Efficiency is %d ', n)
break % comes out of while loop
end
a = a+1; % update the counter
end