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Calculate the values of DeltaE^(@) and D...

Calculate the values of `DeltaE^(@)` and `DeltaH^(@)` for the reaction:
`2A_((g))+B_((g))hArrA_(2)B_((g))`
for which `K_(p)=1.0xx10^(-10)atm^(-2)` and `DeltaS=5 JK^(-1)` and `T=300 K`.

Text Solution

Verified by Experts

`DeltaG^(@)= -2.303 RT log K_(p)`
`= -2.303xx8.314xx10^(-3)xx300xxlog 10^(-10)J`
`= 57.441 kJ`
Now `DeltaH^(@)=DeltaG^(@)+TDeltaS^(@)`
`=57.441+300xx5.0xx10^(-3)=58.941 kJ`
Also we have
`DeltaH^(@)=DeltaU^(@)+DeltanRT` (`:' Deltan=-2` for reaction)
`58.941=DeltaU^(@)+(-2)xx8.314xx10^(-3)xx300`
`DeltaU^(@)=63.93 kJ`
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