Question

The pressure ratio of gas turbine power plant cycle, operating with air, corresponding to maximum work for a given temperature limits of 288 K to 900 K, will be close to a) 5 b) 8 c) 6 d) 7

Answer 1

d) 7

Step-by-step explanation:

Given that

Maximum temperature = 900 K

minimum temperature = 288 K

Condition for maximum work out put in gas turbine power plant

`\left(r_p \right)_(optimum)=\left( (T_(max))/(T_(min)) \right )^(\gamma )/(2\left ( \gamma -1 \right ))`

Now by putting the values in the above equation

`\left(r_p \right)_(optimum)=\left( (900)/(288) \right )^(1.4)/(2\left (1.4 -1 \right ))`

`\left(r_p \right)_(optimum)=7.33`

It is close to 7

So our option d is right.