The water-gas shift reaction is a key industrial process for hydrogen production. It converts CO and H2O into CO2 and H2
The water-gas shift reaction is:
\[ CO + H_2O \rightarrow CO_2 + H_2 \]
The colour of the solution observed after about 1 hour of placing iron nails in copper sulphate solution is:
Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.