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A sample of magnisium metal containing some `MgO` as impurity was dissolved in 125 " mL of " 0.1 N `H_2SO_4`. The volume of `H_2` evolved at `27.3^@C` and 1 atm was 120.1 mL. The resulting solution was found to be 0.02 N with respect to `H_2SO_4`. Calculate (i) the weight of sample dissolved and (ii) the percentage by weight of Mg in the sample. Neglect any change in the volume of the solution (atomic weight of `Mg=24.3`). |
Answer» Volume of `H_2` at `STP=(120.1xx273)/(300.3)=109.2mL` `Mg+H_2SO_4toMgSO_4+H_2` `MgO+H_2SO_4toMgSO_4+H_2O` Weight of Mg`=(24.3)/(22400)xx109.2=0.1185g` `" Eq of "Mg=(0.1185)/(12.15)=0.009753` `" Eq of "H_2SO_4(t otal)=(125xx0.1)/(1000)=0.0125` Excess of `H_2SO_4=(125xx0.02)/(1000)=0.0025` Excess of `H_2SO_4=(125xx0.2)/(1000)=0.0025` `H_2SO_4` used`=0.0125-0.0025=0.01` `=g" Eq of "Mg+g" Eq of "MgO` " Eq of "MgO`=` Total `Eq-" Eq of "Mg` `=0.01-0.009753` `0.000247 " Eq of "MgO` `=0.00247xx(40.3)/(2)g of MgO` `=0.005g` Total weight `=` Weight of `Mg+` weight of `MgO` `=0.1185+0.005=0.1235g` `% of Mg=(0.1185)/(0.1235)xx100=95.5%` |
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