How to Calculate Rate of Transpiration Using a Potometer

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Potometer Transpiration Rate Calculator

The linear distance the bubble traveled along the scale.
The duration of the observation.
Usually between 0.5mm and 1.0mm for standard lab potometers.
Cross-Sectional Area:
Total Water Volume Uptake:
Transpiration Rate:
function calculateTranspiration() { // Get input values var distance = document.getElementById('bubbleDistance').value; var time = document.getElementById('timeInterval').value; var radius = document.getElementById('capillaryRadius').value; var resultBox = document.getElementById('transpirationResult'); // Convert to floats var d = parseFloat(distance); var t = parseFloat(time); var r = parseFloat(radius); // Validation if (isNaN(d) || isNaN(t) || isNaN(r) || t <= 0 || r <= 0 || d < 0) { alert("Please enter valid positive numbers for all fields. Time and Radius must be greater than zero."); return; } // Calculation Logic // 1. Calculate Area of the capillary tube (Circle Area = π * r²) var area = Math.PI * Math.pow(r, 2); // 2. Calculate Volume of water uptake (Cylinder Volume = Area * height/distance) // Result is in cubic millimeters (mm³), which is equivalent to microliters (µL) var volume = area * d; // 3. Calculate Rate (Volume / Time) var rate = volume / t; // Display Results resultBox.style.display = "block"; // Format numbers document.getElementById('displayArea').innerHTML = area.toFixed(4) + " mm²"; document.getElementById('displayVolume').innerHTML = volume.toFixed(2) + " mm³ (µL)"; document.getElementById('displayRate').innerHTML = rate.toFixed(3) + " mm³/min"; }

Understanding Potometer Calculations

A potometer is a device used in plant physiology to measure the rate of water uptake by a leafy shoot. While water uptake is not exactly equal to the rate of transpiration (since some water is used for photosynthesis and turgidity), the difference is negligible (usually less than 2%), making the potometer an excellent tool for estimating transpiration rates.

How the Math Works

The calculation treats the capillary tube of the potometer as a cylinder. To find the volume of water lost (which corresponds to the movement of the air bubble), we calculate the volume of that cylinder.

  • Step 1: Calculate Cross-Sectional Area ($A$)
    Using the radius ($r$) of the capillary tube, we use the formula for the area of a circle:
    $A = \pi r^2$
  • Step 2: Calculate Volume ($V$)
    Multiply the cross-sectional area by the distance ($d$) the air bubble moved:
    $V = \pi r^2 \times d$ (Volume in $mm^3$ or $\mu L$)
  • Step 3: Calculate Rate
    Divide the total volume by the time taken ($t$) to get the rate:
    $Rate = \frac{V}{t}$

Practical Example

Suppose you are conducting an experiment to test the effect of wind speed on a plant shoot. You observe the following:

  • The capillary tube has a radius of 0.5 mm.
  • The air bubble moves 25 mm along the scale.
  • This movement takes 10 minutes.

The Calculation:

  1. Area = $3.14159 \times 0.5^2 = 0.7854$ mm²
  2. Volume = $0.7854 \times 25 = 19.635$ mm³
  3. Rate = $19.635 / 10 = 1.96$ mm³/min

Factors Affecting Transpiration Rate

When using this calculator for lab reports or analysis, consider how environmental factors influence the input values (Distance per Time):

  • Light Intensity: Increases stomatal opening, increasing the rate.
  • Temperature: Higher temperatures increase evaporation and diffusion rates.
  • Humidity: High humidity reduces the concentration gradient, slowing down the rate.
  • Wind Speed: Removes the boundary layer of water vapor, increasing the rate.

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