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Photosynthesis Rate Investigation Lab

A full quantitative photosynthesis investigation. Sweep light intensity, CO2 concentration, or temperature; record the net oxygen production rate; and fit Michaelis-Menten to extract V_max and K_m, or read T_opt from a bell-shaped temperature curve.

Choose an Investigation

Investigation A. Light Response Curve

How does the net oxygen production rate of a leaf depend on light intensity, and what does the Michaelis-Menten fit reveal about V_max and K_light?

Independent Variable

Light intensity I (μmol photons/m²/s)

Dependent Variable

Net O₂ production rate r (μmol O₂/m²/s)

Controlled Variables
  • CO₂ concentration (held high enough that light is the limiter)
  • Temperature (held at the optimum)
  • Leaf area, age, and chlorophyll content
Hypothesis Prompt

Predict the shape of the r vs I curve. State expected V_max and K_light (light intensity for half saturation).

Expected Result

r rises sharply at low light, then approaches an asymptote V_max at high light. The Lineweaver-Burk transform 1/r vs 1/I gives a straight line with slope K_light/V_max and intercept 1/V_max.

Procedure
  1. Pick the preset CO₂ and temperature (saturating CO₂ and T_opt)
  2. Record 6 trials at the light sequence 50, 100, 200, 400, 800, 1500 μmol/m²/s
  3. Plot r vs I and the Lineweaver-Burk transform on the second axis
  4. Read V_max from the y-intercept and K_light from slope/intercept
  5. Compute percent error against the accepted V_max and K_light

Setup (held constants)

μmol/m²/s
ppm
°C
μmol/m²/s
μmol/m²/s

Each Record Trial advances to the next value in the preset IV sequence (6 trials). The two non-IV factors stay fixed.

Net rate r (μmol O₂/m²/s) vs Light intensity I (μmol/m²/s)

-0.050.230.500.781.05-0.100.200.500.801.10Light intensity I (μmol/m²/s)Net rate r (μmol O₂/m²/s)

Record at least 2 trials (or load sample data) to see the response curve.

Michaelis-Menten Fit

V_max
K_m
%error V_max / K_m
/

Fit uses the Lineweaver-Burk linearization 1/r vs 1/x with R² computed on the original axis. Negative rates (below the light compensation point) are dropped from the fit.

Data Table

(0 rows)
#TrialLight intensity I(μmol/m²/s)Net O₂ rate r(μmol/m²/s)1/I1/r
0 / 500
0 / 500
0 / 500

Reference Guide

Net vs Gross Rate

Net oxygen production equals gross photosynthesis minus dark respiration. Below the light compensation point the net rate is negative because the plant consumes more O2 than it produces.

rnet=rgrossrrespr_{\rm net} = r_{\rm gross} - r_{\rm resp}

Michaelis-Menten Saturation

For light or CO2 as the single limiting factor

r=VmaxSKm+Sr = \frac{V_{\max}\,S}{K_m + S}

The Lineweaver-Burk transform 1/r vs 1/S is linear with intercept 1/V_max and slope K_m / V_max. Use the linearized fit to estimate V_max and K_m, then check the R² in the original axis.

Law of Limiting Factors

Gross photosynthesis is governed by the slowest of the individual rates, scaled by a temperature response factor.

rgross=min(rlight,rCO2)f(T)r_{\rm gross} = \min(r_{\rm light}, r_{\rm CO_2}) \cdot f(T)

Sweeping one factor at saturating values of the others isolates its contribution and avoids cross-talk between the three responses.

Temperature Bell Curve

The temperature response is approximately Gaussian with a peak at T_opt (around 30 C for many C3 plants).

f(T)=exp ⁣[(TTopt)22σ2]f(T) = \exp\!\Bigl[-\frac{(T - T_{\rm opt})^2}{2\sigma^2}\Bigr]

Above the optimum, enzyme denaturation reduces the rate rapidly. Below it, low kinetic energy slows enzyme turnover.

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