A metal oxide has the formula Z2O3 . It can be reduced by hydrogen to give free metal and water . 0.16 gm of the metal oxide requires 6 mg of hydrogen for complete reduction. The atomic weight of a metal is:

Given,
    Metal oxide has the formula Z2O3
Valency of the metal in Z2O3 = 3

      Z2O3 + 3H2 → 2Z + 3H2O
As 0.16 g of Z2O3
reacts with H2 = 6 mg = 0.006 g
      So, 1 g of H2 react with 0.16/0.006 = 26.67 g of Z2O3
Hence,
     Equivalent weight of Z2O3
= 26.67

Equivalent weight of Z + Equivalent weight of O = E + 8 = 26.67

Therefore,
 
     Equivalent weight of Z = 26.67 - 8 = 18.67

Hence,
       Atomic weight of Z = 18.67 x 3 = 56.01

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