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A mineral consists of an equimolar mixtu...

A mineral consists of an equimolar mixture of the carbonates of two bivalent metals. One metal is present to the extent of 12.5% by weight. 2.8 g of the mineral on heating lost 1.32 g of `CO_(2).` What is the%by weight of the other metal?

A

`87.5`

B

`35.71`

C

`65.11`

D

`23.21`

Text Solution

Verified by Experts

The correct Answer is:
D
Let two equimolar carbonales are `ACO _(3) and BCO _(3),` Wt. of metla `A = 2. 8 xx 0. 125=0.25 g `
`ACO _(3) + BCO _(3) to AO + BO + 2 CO _(2)`
Total two moles `CO _(3) ^(2-) ` Provide 44 g of `CO _(2)`
Total mass of `CO _(3) 6(2-) ` required to produce `1. 32 g of CO _(2) = ( 60)/(44) xx 1. 32 = 1. 8 g`
Wt . of metal `(A+B) = 2. 8 - 1. 8 = 1 0 g`
Et. of `B = 1. 0 - 0. 35 = 0. 65 g, % of B = ( 0. 65)/( 2. 80) xx 100 = 23. 21`
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