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Question

Equal weights of mercury and iodine are allowed to react completely to form a mixture of mercurous and mercuric iodide leaving none of the reactants. The ratio by mole of Hg2I2 and HgI2 formed (Hg=200, I=127) is :

A
1:2.7
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B
2.7:1
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C
1:3
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D
3:1
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Solution

The correct option is D 1:2.7
The molecular weights of Hg and iodine are 200 g/mol and 254 g/mol respectively.
To produce 1 mole of Hg2I2, 400 g of Hg and 254 g of iodine are required.
To produce x mole of HgI2, 200x g of mercury and 254x g of iodine are required.
Total mass of mercury required is 200x+400.
Total mass of iodine required is 254x+254.
The mass of mercury required is equal to the mass of iodine required.
Hence, 200x+400=254x+254.
Hence, x=2.7.
The ratio of the number of moles of Hg2I2 and HgI2 produced is 1:2.7.

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