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:
Area = $3.14159 \times 0.5^2 = 0.7854$ mm²
Volume = $0.7854 \times 25 = 19.635$ mm³
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.