Length Of Capillary Tube Calculator

Formula Used:

\[ Lc = \frac{\Delta L}{\gamma \cdot \Delta T} \]

Change in Capillary Tube Length (ΔL):

Volumetric Expansion Coefficient (γ):

1/K

Temperature Change (ΔT):

Capillary Tube Length (Lc):

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1. What is the Capillary Tube Length Formula?

The formula calculates the length of a capillary tube based on the change in length due to temperature variations, using the volumetric expansion coefficient and temperature change. It helps in understanding thermal expansion effects in capillary systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Lc = \frac{\Delta L}{\gamma \cdot \Delta T} \]

Where:

\( Lc \) — Capillary Tube Length (m)
\( \Delta L \) — Change in Capillary Tube Length (m)
\( \gamma \) — Volumetric Expansion Coefficient (1/K)
\( \Delta T \) — Temperature Change (K)

Explanation: The formula calculates the original length of a capillary tube by dividing the change in length by the product of the volumetric expansion coefficient and temperature change.

3. Importance of Capillary Tube Length Calculation

Details: Accurate calculation of capillary tube length is crucial for designing systems involving capillary action, thermal expansion analysis, and material science applications where precise dimensional changes matter.

4. Using the Calculator

Tips: Enter change in capillary tube length in meters, volumetric expansion coefficient in 1/K, and temperature change in Kelvin. All values must be positive and valid.

5. Frequently Asked Questions (FAQ)

Q1: What is volumetric expansion coefficient?
A: Volumetric expansion coefficient measures how much a material's volume changes per degree change in temperature.

Q2: Why is temperature change measured in Kelvin?
A: Kelvin is used because it's an absolute temperature scale where 0 represents absolute zero, making it suitable for thermodynamic calculations.

Q3: Can this formula be used for any material?
A: Yes, as long as you have the correct volumetric expansion coefficient for that specific material.

Q4: What are typical values for volumetric expansion coefficients?
A: Values vary by material. For example, water has about 0.000214 1/K, while aluminum has about 0.000069 1/K at room temperature.

Q5: How accurate is this calculation?
A: The accuracy depends on the precision of input values and assumes linear expansion, which is generally valid for small temperature changes.