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When an orange solution containing \text {Cr}_{2}\text {O}_{7}^{2-} ion is treated with an alkali, a yellow solution is formed and when \text {H}^{+} ions are added to a yellow solution, an orange solution is obtained. Explain why does this happen?

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When \text {Cr}_{2}\text {O}_{7}^{2-} is treated with an alkali :

                           \text {Cr}_{2}\text {O}_{7}^{2-} \text {(orange)}+\text {OH}^{-}\rightarrow \text {2CrO}_{4}^{2-}\text {(yellow)}

When the yellow solution is treated with an acid, we get back the orange solution

\text {2CrO}_{4}^{2-}+\text {2H}^{+}\rightarrow \text {Cr}_{2}\text {O}_{7}^{2-}\text {(Orange)}+\text {H}_{2}\text {O}

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