1.

At 30^(@)C, K_(p) for the dissociation reaction :SO_(2)Cl_(2)(g) hArr SO_(2)(g)+Cl_(2)(g)is 2.9xx10^(-2) atm. If the total pressure is1 atm, the degree of dissociation of SO_(2)Cl_(2) is : (assume 1-alpha^(2)=1).

Answer»

`87%`
`13%`
`17%`
`29%`

SOLUTION :`SO_(2)Cl_(2)hArr SO_(2)+Cl_(2)`
If degree of DISSOCIATION is `alpha`
`1-alpha "" alpha "" alpha`
Total no. of MOLES `=1-alpha+alpha+alpha=1+alpha`
`pSO_(2)=(alpha P)/(1+alpha)=(alpha)/(1+alpha)`
`pCl_(2)=(alpha P)/(1+alpha)=(alpha)/(1+alpha)`
`pSO_(2)Cl_(2)=(1-alpha)/(1+alpha)P=(1-alpha)/(1+alpha)`
`K_(p)=((pSO_(2))xx(pCl_(2)))/(p(SO_(2)Cl_(2)))`
`=(((alpha)/(1+alpha))((alpha)/(1+alpha)))/((1-alpha)/(1+alpha))`
`K_(p)=(alpha^(2))/(1-alpha^(2))=alpha^(2)`
`therefore alpha^(2)=K_(p)=2.9xx10^(-2)`
`= sqrt(2.9xx10^(-12))=0.17=17%`


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