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

Answer:

d) 7

Explanation:

Given that

Maximum temperature = 900 K

minimum temperature = 288 K

Condition for maximum work out put in gas turbine power plant

$\left(r_p \right)_{optimum}=\left( \dfrac{T_{max}}{T_{min}} \right )^\frac{\gamma }{2\left ( \gamma -1 \right )}$

Now by putting the values in the above equation

$\left(r_p \right)_{optimum}=\left( \dfrac{900}{288} \right )^\frac{1.4}{2\left (1.4 -1 \right )}$

$\left(r_p \right)_{optimum}=7.33$

It is close to 7

So our option d is right.