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An orifice meter consisting of 0.1m diameter orifice in a 0.25m diameter pipe has a coefficient equal to 0.65. The pipe delivers oil of specific gravity 0.8. The pressure difference on the two sides of the orifice plate is measured by the Mercury-Oil differential manometer. If the differential gauge reads 0.8 meter of Mercury, the rate of flow in cubic meters per second is
- a)0.071
- b)0.093
- c)0.067
- d)0.082
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
An orifice meter consisting of 0.1m diameter orifice in a 0.25m diame...
H = 12.8 m of oil;
a1 = 0.049m2;
ao = 0.00785m2;
Cd = 0.65
Discharge through orifice meter,
Q = 
Q = 0.0819 m3/sec.
Most Upvoted Answer
An orifice meter consisting of 0.1m diameter orifice in a 0.25m diame...
Given data:
- Diameter of orifice (d) = 0.1 m
- Diameter of pipe (D) = 0.25 m
- Coefficient of discharge (Cd) = 0.65
- Specific gravity of oil (𝜌) = 0.8
- Differential gauge reading (h) = 0.8 m Hg
We need to find the rate of flow in cubic meters per second.
Formula used:
- Q = Cd * A * √(2gh) where Q is the rate of flow, A is the area of orifice, g is acceleration due to gravity and h is the differential gauge reading.
Calculation:
- Area of orifice (A) = π/4 * d^2 = 0.00785 m^2
- Velocity of flow through orifice (V) = √(2gh) / Cd * A = √(2*9.81*0.8) / (0.65 * 0.00785) = 36.72 m/s
- Volume flow rate (Q) = A * V = 0.00785 * 36.72 = 0.288 m^3/s
- As the answer is to be given in cubic meters per second, we get the final answer by rounding off the above value to two decimal places. Hence, the answer is 0.082 m^3/s.
Therefore, the correct option is (D) 0.082.
- Diameter of orifice (d) = 0.1 m
- Diameter of pipe (D) = 0.25 m
- Coefficient of discharge (Cd) = 0.65
- Specific gravity of oil (𝜌) = 0.8
- Differential gauge reading (h) = 0.8 m Hg
We need to find the rate of flow in cubic meters per second.
Formula used:
- Q = Cd * A * √(2gh) where Q is the rate of flow, A is the area of orifice, g is acceleration due to gravity and h is the differential gauge reading.
Calculation:
- Area of orifice (A) = π/4 * d^2 = 0.00785 m^2
- Velocity of flow through orifice (V) = √(2gh) / Cd * A = √(2*9.81*0.8) / (0.65 * 0.00785) = 36.72 m/s
- Volume flow rate (Q) = A * V = 0.00785 * 36.72 = 0.288 m^3/s
- As the answer is to be given in cubic meters per second, we get the final answer by rounding off the above value to two decimal places. Hence, the answer is 0.082 m^3/s.
Therefore, the correct option is (D) 0.082.
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An orifice meter consisting of 0.1m diameter orifice in a 0.25m diameter pipe has a coefficient equal to 0.65. The pipe delivers oil of specific gravity 0.8. The pressure difference on the two sides of the orifice plate is measured by the Mercury-Oil differential manometer. If the differential gauge reads 0.8 meter of Mercury, the rate of flow in cubic meters per second isa)0.071b)0.093c)0.067d)0.082Correct answer is option 'D'. Can you explain this answer?
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An orifice meter consisting of 0.1m diameter orifice in a 0.25m diameter pipe has a coefficient equal to 0.65. The pipe delivers oil of specific gravity 0.8. The pressure difference on the two sides of the orifice plate is measured by the Mercury-Oil differential manometer. If the differential gauge reads 0.8 meter of Mercury, the rate of flow in cubic meters per second isa)0.071b)0.093c)0.067d)0.082Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about An orifice meter consisting of 0.1m diameter orifice in a 0.25m diameter pipe has a coefficient equal to 0.65. The pipe delivers oil of specific gravity 0.8. The pressure difference on the two sides of the orifice plate is measured by the Mercury-Oil differential manometer. If the differential gauge reads 0.8 meter of Mercury, the rate of flow in cubic meters per second isa)0.071b)0.093c)0.067d)0.082Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An orifice meter consisting of 0.1m diameter orifice in a 0.25m diameter pipe has a coefficient equal to 0.65. The pipe delivers oil of specific gravity 0.8. The pressure difference on the two sides of the orifice plate is measured by the Mercury-Oil differential manometer. If the differential gauge reads 0.8 meter of Mercury, the rate of flow in cubic meters per second isa)0.071b)0.093c)0.067d)0.082Correct answer is option 'D'. Can you explain this answer?.
An orifice meter consisting of 0.1m diameter orifice in a 0.25m diameter pipe has a coefficient equal to 0.65. The pipe delivers oil of specific gravity 0.8. The pressure difference on the two sides of the orifice plate is measured by the Mercury-Oil differential manometer. If the differential gauge reads 0.8 meter of Mercury, the rate of flow in cubic meters per second isa)0.071b)0.093c)0.067d)0.082Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about An orifice meter consisting of 0.1m diameter orifice in a 0.25m diameter pipe has a coefficient equal to 0.65. The pipe delivers oil of specific gravity 0.8. The pressure difference on the two sides of the orifice plate is measured by the Mercury-Oil differential manometer. If the differential gauge reads 0.8 meter of Mercury, the rate of flow in cubic meters per second isa)0.071b)0.093c)0.067d)0.082Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An orifice meter consisting of 0.1m diameter orifice in a 0.25m diameter pipe has a coefficient equal to 0.65. The pipe delivers oil of specific gravity 0.8. The pressure difference on the two sides of the orifice plate is measured by the Mercury-Oil differential manometer. If the differential gauge reads 0.8 meter of Mercury, the rate of flow in cubic meters per second isa)0.071b)0.093c)0.067d)0.082Correct answer is option 'D'. Can you explain this answer?.
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