Question:

Out of KMnO$_4$ and K$_2$MnO$_4$, which one is paramagnetic and why?

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Check d-electrons → unpaired means paramagnetic.
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Solution and Explanation

KMnO$_4$: Mn in +7 → d$^0$ → diamagnetic.
K$_2$MnO$_4$: Mn in +6 → d$^1$ → 1 unpaired → paramagnetic.
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