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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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` {:(,PCl_(5),hArr,PCl_(3),+,Cl _(2)),("At equilibrium",0*6,,0*4,,0*4 "moles"):} `
Average molecular mass of the mixture ` ( 0*6(31 + 5 xx 35*5 ) + 0*4 (31 + 3 xx 35*5)+ 0*4 (2 xx 35 *5 ))/( 0*6 + 0 *4 + 0*4 )`
` =( 125*1 + 55 + 42*6)/ (1*4) = 148* 92 `
For ideal gases , `PV = nRT = w/M RT or PM = w/V RT = d RT `
` :. d = (PM)/(RT) = (1xx 148* 92 )/(0* 08205 xx 400 )= 4* 5374 g L^(-1) `
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