1. The net ionic equation for the reaction between sodium thiosulphate and hydrochloric acid is given as
S2O32−(aq)+2H+(aq)⟶S(s)+SO2(g)+H2O(l) To prove that this reaction follows first order kinetics, a student varied the concentration of S2O32− while keeping that of H+constant (10mL of 2 M HCl) and observed the rate of appearance of S(s) with time. Starting with 50 mL of 0.15MS2O32−, he generated the results shown in table 1 . Table 1: Results for the clock reaction between S2O32− and H+
\begin{tabular}{|l|l|l|l|l|}
\hline Beaker & Vol. Na2S2O3/mL & Vol. H2O/mL & {[Na2S2O3]/M} & Time/s \\
\hline A & 50.0 & 0.0 & 0.15 & 22.5 \\
\hline B & 40.0 & 10.0 & & 27.3 \\
\hline C & 30.0 & 20.0 & & 35.1 \\
\hline D & 40.0 & 30.0 & & 60.0 \\
\hline E & 10.0 & 40.0 & & 159.1 \\
\hline
\end{tabular}
a) Copy and complete table 1.
b) Plot a graph of ln[Na2S2O3] (M) against time (s).
Section C(One Questions)
(15 Marks)
Let the rate of increase of bacteria is proportional to its size it is found that a culture of 300 bacteria has increased to 6 hundrod affer 90 minutes.
(a) Express the population after t hours as a function of f.
(b) How many bacteria are there in 5 hours?
(c) How many hours and minutes will it take the culture to reach 20,000 bacteria. ( 3 marks