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GATE 2020 CH – Question 62

Instrumentation and Process Control · Controller modes, control valves and tuning · 2 marks · Numerical answer

An equal-percentage valve passes 900 L/h at 30% opening and 1080 L/h at 35%, at constant pressure drop. Find flow at 45% opening in L/h, rounded to the nearest integer.

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Correct answer: 1540 to 1580

Explanation

For an equal-percentage characteristic, equal increments in opening multiply flow by a constant factor. A 5-percentage-point increment multiplies it by 1080/900 = 1.2. Moving from 35% to 45% adds two such increments, giving $Q=1080(1.2)^2=1555.2$ L/h. Rounded flow is 1555 L/h.

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