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Find Delta(r)U^(@) for the reaction 4HCl...

Find `Delta_(r)U^(@)` for the reaction `4HCl (g) + O_(2) (g) rArr 2Cl_(2) (g) + 2H_(2)O (g)` at 300 K. Assume all gases are ideal
`{:("Given",H_(2) (g) + Cl_(2) (g) rarr 2HCl (g),Delta_(r) H_(300)^(@) - 184.5 kJ//"mole",),(,2H_(2) (g) + O_(2) (g) rarr 2H_(2)O (g),Delta_(r) H_(300)^(@) = - 483 kJ//"mole" ("Use" R = 8.3 J//"mole"),):}`

A

111.5 kJ/mole

B

`-109.01 kJ//"mole"`

C

`-111.5 kJ//"mole"`

D

None

Text Solution

Verified by Experts

The correct Answer is:
C
`4HCl+O_(2) square hArr 2Cl_(2)+2H_(2)O" "DeltaH=-114`
`DeltaU=DeltaH-Deltan_(g)RT=-114+(1xx8.314xx10^(-3) xx300)`
`=-111.5" kJ mol"^(-1)`
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