Q.

8Al + 30HNO3 → 8 Al(NO3)3+3NH4NO3 + 9H2O as per thegiven equation the number of moles of the aluminium metal that can be oxidised by one mole of HNO3 is

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a

3/8

b

30/8

c

8/3

d

8/30

answer is C.

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Detailed Solution

8Al + 30HNO3 → 8 Al(NO3)3+3NH4NO3 + 9H2O;
Al → Al+3 (↑3)
\large ^{ + 5}NO_3^ - \; \to {\;^{ - 3}}NH_4^ + ( \downarrow 8)
Of the 30 moles \large NO_3^ - ions 27 moles of nitrate ions remained unchanged only 3 mole nitrate ions reduced to \large NH_4^ + ions
All the 8mole of 'Al' oxidized to Al+3
So 8 moles of Al reduces 3 moles of nitrate ion
'X' moles of Al reduces 3 moles of nitrate ion
\large X\;=\;\frac{3}{8}
Alternate method
\large \begin{array}{*{20}{c}} {\mathop {Al}\limits_O \; \to \;\mathop {A{l^{ + 3}}}\limits_3 } \\ { increase \;in\;oxidation\;number\; = \;3} \end{array}\left| {\begin{array}{*{20}{c}} {\mathop {^{ + 5}NO_3^ - }\limits_{ + 5} \to \mathop {N{H_4^{+}}}\limits_{ -3} } \\ {decrease \;in\;oxidation\;numbe\; = \;8} \end{array}} \right.
Criss - Cross method
8 mole of Al reduces 3moles of \large NO_3^ - ions
'X' mole of Al reduces 1moles of \large NO_3^ - ions
\large X\;=\;\frac{3}{8}

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