At 300 K, the \( E^\ominus_{cell} \) of
\[
\text{A(s)} + \text{B}^{2+}(\text{aq}) \rightleftharpoons \text{A}^{2+}(\text{aq}) + \text{B(s)}
\]
is 1.0 V. If \( \Delta_r S^\ominus \) of this reaction is 100 J K\(^{-1}\), what is \( \Delta_r H^\ominus \) (in kJ mol\(^{-1}\)) of this reaction?
(F = 96500 C mol\(^{-1}\))