The rusting of iron takes place as follows. Calculate $\Delta G^o$ for the net process in $kJ \ mol^{-1}$.
$2H^{+} + 2e^- + \frac{1}{2}O_2 \longrightarrow H_2O_{(l)} ; E^o = +1.23 \ V$
$Fe^{2+} + 2e^- \longrightarrow Fe_{(s)} ; E^o = -0.44 \ V$

  • A
    $-322$
  • B
    $-161$
  • C
    $-152$
  • D
    $-76$

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At $298 \, K$, the standard Gibbs free energy of formation for $H_2O_{(l)}$, $CO_{2(g)}$, and $C_5H_{12(g)}$ are $-237.2$, $-394.4$, and $-8.2 \, kJ \, mol^{-1}$ respectively. What is the potential of a pentane-oxygen fuel cell in $V$?

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Which of the following statements is not correct?

The molar conductivity of $0.025 \ mol \ L^{-1}$ methanoic acid is $46.1 \ S \ cm^2 \ mol^{-1}$. Calculate its degree of dissociation and dissociation constant. Given $\lambda^o(H^{+}) = 349.6 \ S \ cm^2 \ mol^{-1}$ and $\lambda^o(HCOO^{-}) = 54.6 \ S \ cm^2 \ mol^{-1}$.

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Which of the following statements is incorrect?

Match List-$I$ with List-$II$.
List-$I$ (Conversion) List-$II$ (Number of Faraday required)
$A$. $1 \ mol$ of $H_2O$ to $O_2$ $I$. $3 \ F$
$B$. $1 \ mol$ of $MnO_4^{-}$ to $Mn^{2+}$ $II$. $2 \ F$
$C$. $1.5 \ mol$ of $Ca$ from molten $CaCl_2$ $III$. $1 \ F$
$D$. $1 \ mol$ of $FeO$ to $Fe_2O_3$ $IV$. $5 \ F$

Choose the correct answer from the options given below:

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