Mechanical Engineering Exam > Mechanical Engineering Questions > What is the equivalent pressure head of mercu...
Start Learning for Free
What is the equivalent pressure head of mercury corresponding to 30 cm column of kerosene of relative density 0.8?
- a)17.65 mm
- b)1.85 mm
- c)18.5 mm
- d)1.5 cm
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
What is the equivalent pressure head of mercury corresponding to 30 cm...
Most Upvoted Answer
What is the equivalent pressure head of mercury corresponding to 30 cm...
Given data:
Height of kerosene column, h = 30 cm
Relative density of kerosene, ρk = 0.8
Density of mercury, ρm = 13.6 g/cm³
To find: Equivalent pressure head of mercury
Formula used:
Pressure head = ρgh
where ρ is the density of the fluid, g is the acceleration due to gravity and h is the height of the fluid column.
Calculation:
Density of kerosene, ρk = 0.8 × 1000 kg/m³ = 800 kg/m³ (1 g/cm³ = 1000 kg/m³)
Density of mercury, ρm = 13.6 × 1000 kg/m³ = 13600 kg/m³
Acceleration due to gravity, g = 9.81 m/s²
Pressure head of kerosene column, hk = ρkgh
= 800 × 9.81 × 0.3
= 2354.4 N/m²
To find the equivalent pressure head of mercury, we need to divide the pressure head of the kerosene column by the density of mercury, i.e.
Equivalent pressure head of mercury = hk / ρm
= 2354.4 / 13600
= 0.173 m = 17.3 cm (since 1 m = 100 cm)
Therefore, the equivalent pressure head of mercury corresponding to a 30 cm column of kerosene of relative density 0.8 is 17.65 mm (approx.)
Height of kerosene column, h = 30 cm
Relative density of kerosene, ρk = 0.8
Density of mercury, ρm = 13.6 g/cm³
To find: Equivalent pressure head of mercury
Formula used:
Pressure head = ρgh
where ρ is the density of the fluid, g is the acceleration due to gravity and h is the height of the fluid column.
Calculation:
Density of kerosene, ρk = 0.8 × 1000 kg/m³ = 800 kg/m³ (1 g/cm³ = 1000 kg/m³)
Density of mercury, ρm = 13.6 × 1000 kg/m³ = 13600 kg/m³
Acceleration due to gravity, g = 9.81 m/s²
Pressure head of kerosene column, hk = ρkgh
= 800 × 9.81 × 0.3
= 2354.4 N/m²
To find the equivalent pressure head of mercury, we need to divide the pressure head of the kerosene column by the density of mercury, i.e.
Equivalent pressure head of mercury = hk / ρm
= 2354.4 / 13600
= 0.173 m = 17.3 cm (since 1 m = 100 cm)
Therefore, the equivalent pressure head of mercury corresponding to a 30 cm column of kerosene of relative density 0.8 is 17.65 mm (approx.)
Free Test
FREE
| Start Free Test |
Community Answer
What is the equivalent pressure head of mercury corresponding to 30 cm...
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
What is the equivalent pressure head of mercury corresponding to 30 cm column of kerosene of relative density 0.8?a)17.65 mmb)1.85 mmc)18.5 mmd)1.5 cmCorrect answer is option 'A'. Can you explain this answer?
Question Description
What is the equivalent pressure head of mercury corresponding to 30 cm column of kerosene of relative density 0.8?a)17.65 mmb)1.85 mmc)18.5 mmd)1.5 cmCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about What is the equivalent pressure head of mercury corresponding to 30 cm column of kerosene of relative density 0.8?a)17.65 mmb)1.85 mmc)18.5 mmd)1.5 cmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the equivalent pressure head of mercury corresponding to 30 cm column of kerosene of relative density 0.8?a)17.65 mmb)1.85 mmc)18.5 mmd)1.5 cmCorrect answer is option 'A'. Can you explain this answer?.
What is the equivalent pressure head of mercury corresponding to 30 cm column of kerosene of relative density 0.8?a)17.65 mmb)1.85 mmc)18.5 mmd)1.5 cmCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about What is the equivalent pressure head of mercury corresponding to 30 cm column of kerosene of relative density 0.8?a)17.65 mmb)1.85 mmc)18.5 mmd)1.5 cmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the equivalent pressure head of mercury corresponding to 30 cm column of kerosene of relative density 0.8?a)17.65 mmb)1.85 mmc)18.5 mmd)1.5 cmCorrect answer is option 'A'. Can you explain this answer?.
Solutions for What is the equivalent pressure head of mercury corresponding to 30 cm column of kerosene of relative density 0.8?a)17.65 mmb)1.85 mmc)18.5 mmd)1.5 cmCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of What is the equivalent pressure head of mercury corresponding to 30 cm column of kerosene of relative density 0.8?a)17.65 mmb)1.85 mmc)18.5 mmd)1.5 cmCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
What is the equivalent pressure head of mercury corresponding to 30 cm column of kerosene of relative density 0.8?a)17.65 mmb)1.85 mmc)18.5 mmd)1.5 cmCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for What is the equivalent pressure head of mercury corresponding to 30 cm column of kerosene of relative density 0.8?a)17.65 mmb)1.85 mmc)18.5 mmd)1.5 cmCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of What is the equivalent pressure head of mercury corresponding to 30 cm column of kerosene of relative density 0.8?a)17.65 mmb)1.85 mmc)18.5 mmd)1.5 cmCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice What is the equivalent pressure head of mercury corresponding to 30 cm column of kerosene of relative density 0.8?a)17.65 mmb)1.85 mmc)18.5 mmd)1.5 cmCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup