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Chemistry Question on d block elements

Consider the following reaction, xMnO4+yC2O42+zH+xMn2++2yCO2+z2H2OxMnO_4^- + yC_2O_4^{2-}+zH^+ \rightarrow xMn^{2+}+2yCO_2 + \frac{z}{2}H_2O The values of x, y and z in the reaction are, respectively

A

5.2 and 16

B

2,5 and 8

C

2,5 and 16

D

5.2 and 8

Answer

2,5 and 16

Explanation

Solution

The half equations of the reaction are
MnO4Mn2+\, \, \, \, \, \, \, \, \, \, \, \, \, \, MnO_4^- \rightarrow \, \, Mn^{2+}
C2O42CO2\, \, \, \, \, \, \, \, \, \, \, \, \, \, C_2O_4^{2-} \rightarrow \, CO_2
The balanced half equations are
MnO4+8H++5eMn2++H2O\, \, \, MnO_4^- + 8H^{+} + 5e^- \rightarrow \, Mn^{2+} +H_2 O
C2O422CO2+2e\, \, \, \, \, \, \, \, \, \, \, \, \, C_2 O_4^{2-} \rightarrow \, \, 2 CO_2+2e^-
On equating number of electrons, we get
2MnO4+16H++10e2Mn2+8H2O2MnO_4^- + 16H^+ +10e^- \rightarrow \, 2Mn^{2-}+8H_2O
5C2O410CO2+10e\, \, \, \, \, \, \, \, \, \, \, \, \, \, 5C_2O_4^- \rightarrow \, \, 10CO_2 +10e^-
On adding both the equations, we get
2MnO4+5C2O4+16H+2Mn2+2MnO_4^- + 5C_2O_4^-+16H^+ \rightarrow \, 2Mn^{2+}
\hspace40mm +2 \times 5CO_2 +\frac{16}{2}H_2O
Thus .x, y and z are 2, 5 and 16 respectively