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Question

# The vapour density of PCl5 is 104.16 but when heated to 230oC, its vapour density is reduced to 62. The degree of dissociation of PCl5, at 230oC, is:

A
0.34
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B
0.68
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C
0.80
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D
None of these
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Solution

## The correct option is B 0.68The vapour density of PCl5 is 104.16 but when heated to 230oC, its vapour density is reduced to 62. The degree of dissociation of PCl5, at 230oC is 0.68The molecular weight is twice the vapour density.When the vapor density is 104.16, the molecular weight is 2×104.16=208.32 g/mol.When the vapor density is 62, the molecular weight is 2×64=124 g/molLet x be the degree of dissociation of PCl5 PCl5 PCl3 Cl2 Initial moles 10 0 Equilibrium moles 1−xx x 208.32(1−x)+137.33x+71x1−x+x+x=124208.321+x=124208.32=124+124x84.32=124xx=0.68Hence, the degree of dissociation of PCl5 is 0.68.

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