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Question

NX is produced by the following step of reactions:
M+X2MX2
3MX2+X2M3X8
M3X8+N2CO3NX+CO2+M3O4
How much M (metal) is consumed to produce 206gm of NX?
(Take atomic weight of M=56,N=23,X=80)

A
42gm
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B
336gm
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C
143gm
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D
74gm
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Solution

The correct option is C 336gm
M+X2MX2
3MX2+X2M3X8
M3X8+N2CO3NX+CO2+M3O4

Multiplying Equation 1 by Equation 3, and adding all the equations we get
3M+3X23MX2
3MX2+X2M3X8
M3X8+N2CO3NX+CO2+M3O4
Resultant equation:- 3M+4N2+N2CO3NX+CO2+M3O4
Mass of NX=206g
Molar mass of NX=23+80=103g/mol
Moles of NX=206g×1mol103g=2molNX
Moles of metal M=2molNX×3moleM1moleNX=6molM
Mass of metal M=6molM×56gM1moleM=336gM
Hence, 336g metal is consumed to produce 206g of NX.

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