JEE Advanced levelOne or more correct optionsDifficulty 3 of 3ec094
A hydrogen gas concentration cell Pt∣HX2(pX1)∣HCl(aq)∣HX2(pX2)∣Pt has both electrodes dipped in the same HCl solution, with p1>p2. At 298 K, which of the following statements are correct?
AThe electrode at pressure p1 is the anode
BThe EMF does not depend on the concentration of HCl
CThe EMF is unchanged if both p1 and p2 are doubled
DThe EMF equals 0.0591log(p1/p2) volt
Answer: A, B, C
Oxidation HX22HX++2eX− is favoured where HX2 pressure is higher, so the p1 electrode is the anode (A). Overall change is HX2(p1)→HX2(p2); HX+ cancels, so EMF is independent of [HCl] (B). E=20.0591logp2p1, which depends only on the ratio, so doubling both pressures changes nothing (C). Statement (D) uses n=1 instead of n=2 and is wrong.