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In liquid level systems, the units of capacitance of a tank is
  • a)
    m2
  • b)
    m3
  • c)
  • d)
    m-2 s
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
In liquid level systems, the units of capacitance of a tank isa)m2b)m3...
If q = flow; A = Area of cross-section and h = height of water in tank.
Then, ...(i)
Also, ...(ii)
On comparing equations.(i) and (ii), we have C (Farad) = A = m2
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Most Upvoted Answer
In liquid level systems, the units of capacitance of a tank isa)m2b)m3...
Understanding Liquid Level Systems
In liquid level systems, capacitance refers to the ability of a tank to hold a certain volume of liquid relative to changes in liquid level. The units of capacitance can be derived from the relationship between volume and liquid level.
Capacitance in Liquid Level Systems
- Capacitance is often defined as the ratio of the change in volume (ΔV) to the change in height (Δh) of the liquid in the tank.
- Mathematically, this can be expressed as:
Capacitance = ΔV / Δh
Units of Capacitance
- Here, the volume (V) is measured in cubic meters (m³) and the height (h) in meters (m).
- Therefore, the units of capacitance can be derived as follows:
- Volume (m³) / Height (m) = m³/m = m²
Conclusion
- Hence, the units of capacitance in a liquid level system are indeed m², which corresponds to the surface area of the tank's cross-section.
- This area determines how much liquid can be added or removed per unit height change, making it a critical factor in controlling liquid levels in various engineering applications.
Understanding these concepts is essential for effective design and operation in fluid management systems.
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