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Question

A metal oxide has the formula Z2O3. It can be reduced by hydrogen to give free metal and water. 0.2 g of the metal oxide requires 12 mg of hydrogen for complete reduction. The atomic weight of the metal is:

A
52
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B
104
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C
26
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D
78
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Solution

The correct option is C 26
Let M be the molar mass of Z2O3.
Z2O3+3H22Z+3H2O
The number of moles of Z2O3=0.2M

The number of moles of hydrogen =122×1000=0.006

3 moles of hydrogen reacts with 1 mole of Z2O3

Hence, 0.006 moles of hydrogen will react with 0.0063=0.002 moles of Z2O3

But this corresponds to 0.2M moles.

Hence, 0.002=0.2M

M=0.20.002=100
Thus, the molar mass of Z2O3 is 100 g/mol.

The atomic mass of Z is 1003×162=26 g/mol.

Option C is correct.

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