Mole ConceptHard

Question

A metal oxide has the formula M2O3. It can be reduced by hydrogen to give free metal and water. 0.1596 g of the metal oxide required 6 mg of hydrogen for complete reduction. The atomic mass of the metal is

Options

A.111.60
B.159.60
C.79.80
D.55.80

Solution

$M_{2}O_{3} + 3H_{2} \rightarrow 2M + 3H_{2}O$

(2A + 48)g 6 g

$\therefore 0.1596\text{ g}\frac{6}{2A + 48} \times 0.1596 = 6 \times 10^{- 3}$

⇒ A = 55.8.

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