To find the point of contact P≡x1,y1 of a tangent to the graph of y=f(x) passing through origin O, we equate the slope of tangent to y=f(x) at P to the slope of OP. Hence, we solve the equation f'x1=fx1x1 to get x1 amd yr

Solution:

The rate of formation of the brown-coloured tri-iodide ion tΔI3−/Δt can be determined by measuring the rate of appearance of the colour. Given the initial rate data at 25°C, we can analyze how the concentration of H2O2 and I− affect the rate.

From the data:

1. Experiment 1: [H2O2]= 0.100[I−]=0.100 M, Initial rate = 1.15×10−41.15 \times 10^{-4}1.15×10−4 M/s
2. Experiment 2: [H2O2] = 0.200[I−]=0.200 M, Initial rate = 2.30×10−42.30 \times 10^{-4}2.30×10−4 M/s
3. Experiment 3: [H2O2]= 0.100[I−]=0.100 M, Initial rate = 2.30×10−42.30 \times 10^{-4}2.30×10−4 M/s
4. Experiment 4: [H2O2]= 0.200[I−]=0.200 M, Initial rate = 4.60×10−44.60 \times 10^{-4}4.60×10−4 M/s