A certain metal M occurs in four compounds namely A, B, C, and D. A has 20% of M, B has 68% of M, C has 73% of M and D has 60% of M. If metal M is extracted from A, B, C, and D, it costs Rs 35 per kg, Rs 40 per kg, Rs 100 per kg and Rs 45 per kg respectively. Which mineral can be considered as an effective ore of M?
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Answer:
An oxide of a metal (M) contains 40 % by mass of oxygen.
100 g of the oxide will contain 60 g of metal and 40 g of oxygen.
Metal (M) has an atomic mass of 24.
40 g of metal corresponds to
24
60
=2.5mol
Oxygen has an atomic mass of 16.
60 g of oxygen corresponds to
16
40
=2.5mol
Hence, the ratio of the number of moles of metal to oxygen is 1:1.
Explanation:
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