A gas in contact with a liquid shows the following behavior at constant temperature: when $P = 1\ \text{atm}$, $x = 0.02$, and when $P = 3\ \text{atm}$, $x = 0.06$. What is the best conclusion?
AThe data are inconsistent with Henry's law because $K_H$ changes
BThe data are consistent with Henry's law because $P/x$ remains constant
CThe gas must be reacting with the liquid
DThe solubility is independent of pressure
Answer & Solution
Correct answer: B. The data are consistent with Henry's law because $P/x$ remains constant
Principle: Henry's law requires $P = K_H x$, so for valid behavior the ratio $P/x$ should remain constant.
1. For the first data point, $K_H = P/x = 1/0.02 = 50\ \text{atm}$.
2. For the second data point, $K_H = 3/0.06 = 50\ \text{atm}$.
3. Since the same constant is obtained both times, the data fit Henry's law exactly.
Why the distractors are wrong: A is tempting if one assumes any change in $P$ changes $K_H$, but at fixed temperature $K_H$ remains constant for a given system. C is unsupported because the proportionality is actually perfect. D is false because $x$ increases as $P$ increases.
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