A mineral consists of equimolar mixture of the carbonates XCO 3 and YCO 3 . Metal X is present to the extent of 20% by mass. 30 g of the mineral gives 11 g of CO 2 on strong heating (assume all

Question

A mineral consists of equimolar mixture of the carbonates XCO 3 ​ and YCO 3 ​ . Metal X is present to the extent of 20% by mass. 30 g of the mineral gives 11 g of CO 2 ​ on strong heating (assume all C is converted in to CO 2 ​ ). Find the mass percent of metal Y in sample.

TestHub · Accepted Answer

The number of moles of CO₂ is given by:

$n_{C O_{2}} = \frac{1}{4} = n_{XC O_{3}} + n_{Y C O_{3}}$

$n_{XC O_{3}} W_{X} M_{X} M_{Y} W_{Y} = n_{Y C O_{3}} = n_{X} = n_{Y} = \frac{1}{8} = 30 \times \frac{20}{100} = 6 g = 48 = 72 = 9 g$

The mass percent of metal Y is:

$Y = \frac{9}{30} \times 100 = 30%$

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