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4 moles of H(2) at 500K is mixed with 2 ...

`4` moles of `H_(2) at 500K` is mixed with `2` moles of `He` at `400k`. The mixture attains a temperature `T` and volume `V`. Now the mixture is compressed adiabatically to a volume `V'` and temperature `T'`. If `(T')/(T) = ((V)/(V'))^(n)`, find the value of `13n`.

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