Consider the cell $\mathrm{Pt}|\mathrm{H}{}_2(1\mathrm{bar})|\mathrm{HCl}(0.01\mathrm{M})||\mathrm{HCl}(0.1\mathrm{M})|\mathrm{H}{}_2(1\mathrm{bar})|\mathrm{Pt}$ at 298 K. Take $2.303RT/F=0.0591\mathrm{V}$ and $F=96500\mathrm{C}\mathrm{mo}{\mathrm{l}}^{-1}$. Which statements are correct?

1. AThe cell EMF is $0.0591\mathrm{V}$
2. BThe right hand electrode is the cathode
3. C$\Delta G$ is about $-5.70\mathrm{kJ}$ per mole of $\mathrm{H}{}^{+}$ transferred from the 0.1 M side to the 0.01 M side
4. DThe EMF becomes $0.1182\mathrm{V}$ if the $\mathrm{H}{}_2$ pressure on both sides is raised to 2 bar