Discussion
An analyser has a 10 cm cell and reads a certain absorbance. What cell length would double the absorbance for the same gas?
Answer: B
Absorbance is proportional to path length, so doubling it doubles the reading:
\[ A \propto l \Rightarrow l = 2 \times 10 = 20 \]
giving 20 cm. Trace analysers exploit this by folding a path of several metres into a small cell with mirrors. The limit is set by the loss at each reflection and by the volume, which lengthens the response time because the cell takes longer to sweep out. Sensitivity and speed pull against each other here as they do throughout instrumentation.
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