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Find the temperature at which the numeri...

Find the temperature at which the numerical values of `K_(p) and K_(c)` will be equal to each other for the reaction, `(1)/(2)N_(2)(g)+(3)/(2)H_(2)(g)hArr NH_(3)(g)`.

Text Solution

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In case of the given reaction, `Deltan=1-((1)/(2)+(3)/(2))=-1`. If the numerical values of `K_(p) and K_(c)` be x, then for the above reaction, `K_(p)=x" "atm^(-1) and K_(c)=x(mol*L^(-1))^(-1)xL*mol^(-1)`.
Therefore, `K_(p)=K_(c)(RT)^(-1)`
or, `xatm^(-1)=xL*mol^(-1)xx(1)/(0.0821L*atm*mol^(-1)*K^(-1)xxT)`
`therefore T=12.18K`
`therefore`The number values of `K_(p) and K_(c)` for the given reaction will be equal at 12.18 K.
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