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On reduction with hydrogen, 3.6 g of an ...

On reduction with hydrogen, 3.6 g of an oxide of metal (M) left 3.2 g of the metal. If the atomic weight of the metal is 64. the formula of the oxide is

A

`M_(2) O_(3)`

B

`M_(2) O`

C

MO

D

`MO_(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

`M_(x)underset(3.6 g)( O_(y)) + H_(2) rarr underset(("Atomic weight "= 64))underset(3.2g)(xM) + y H_(2)O`
Moles of M = `(32)/(64) = (1)/(20) ` mol
Weight of oxygen = 36 - 32 = 0.4
Moles of oxygen = `(0.4)/(16) = (1)/(40)`
`( " moles of metal " )/( " moles of oxygen " ) = ((1)/(20))/( (1)/(4)) = 2 : 1`
`therefore " " M = 2 ` and
O = 1 or the formula of oxide is `M_(2) O`.
Hence, correct option is (b).
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