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The degree of dissociation is 0.4 at 400...

The degree of dissociation is `0.4` at `400 K` and `1.0` atm for the gaseous reaction
`PCl_(5) hArr PCl_(3)+Cl_(2)`
assuming ideal behaviour of all gases, calculate the density of equilibrium mixture at `400 K` and `1.0` atm (relative atomic mass of P is `31.0` and of Cl is `35.5`).

Text Solution

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A verage molecular mass of micture
`=(0.6 xx " Molecular mass of" PCI_(5) + 0.4 xx " Molecular mass of" PCI_(3) +0.4 "Molecular mass of" CI_(2))/(0.6 + 0.4 +0.4)`
`=(0.6 xx 208. 5 +0.4 xx 137. 5 + 0.4 xx 71)/(1.4) = 148.92`
For an ideal gas , `PV =nRT =(W)/((M) RT`
`" or "" "PM = (W)/(V) RT = dRT " "(":." d =(W)/(V))`
`:." "d=(PM)/(RT) =(1("atm")xx (148.92 g "mol"^(-1)))/((0.82 "atm " K^(-1) "mol"^(-1))(400K)) =4.5374 L^(-1)`
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