$2 M n O_{4}^{-} + b C_{2} O_{4}^{2 -} + c H^{+} \to x M n^{2 +} + y C O_{2} + z H_{2} O$
If the above equation is balanced with integer coefficients, the value of $c$ is

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Solution

$M n O_{4}^{-} + H^{+} \to M n^{2 +} + H_{2} O M n O_{4}^{-} + 8 H^{+} \to M n^{2 +} + 4 H_{2} O M n O_{4}^{-} + 8 H^{+} + 5 e^{-} \to M n^{2 +} + 4 H_{2} O . . . . . . . . (1)$
$C_{2} O_{4}^{2 -} \to 2 C O_{2} + 2 e^{-} . . . . . . . . . (2)$

Now $2 \times equation (1) + 5 \times equation (2)$ :
$2 M n O_{4}^{-} + 5 C_{2} O_{4}^{2 -} + 16 H^{+} \to 2 M n^{2 +} + 10 C O_{2} + 8 H_{2} O$
Hence, $c = 16$

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