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Mechanical Engineering · Q145

Engineering Thermodynamics

Engineering and GATE · Mechanical Engineering · question 145

Q145

The ideal efficiency of a Brayton cycle without regeneration, with increase in pressure ratio will

A.
Increase
Answer
B.
Decrease
C.
Remain unchanged
D.
Increase/decrease depending on application

Answer: Option A

Solution

Answer: Option A
Solution:
In a Brayton cycle without regeneration, the ideal efficiency increases with an increase in pressure ratio.

The efficiency of a Brayton cycle without regeneration is given by:
η = 1 - (1/rk-1)
where η is the cycle efficiency, r is the pressure ratio (pmax/pmin), and k is the specific heat ratio.

As the pressure ratio increases, the denominator term (1/rk-1) decreases, resulting in a higher efficiency.

Therefore, the correct option is Increase.