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The free energy change for the following...

The free energy change for the following reactions is as given below:
`C_(2)H_(2)(g) + (5)/(2)O_(2)(g) to 2CO_(2)(g) +H_(2)O (l), DeltaG^(@) = -1234kJ`
`C(s) + O_(2)(g) to CO_(2)(g), Delta G^(@) = -394kJ`
`H_(2)(g) +(1)/(2) O_(2)(g) to H_(2)O (l), DeltaG^(@) = -237kJ`
Then what will be the standard free energy change for the reaction given below:
`H_(2)(g) + 2C(s) to C_(2) H_(2) (g) `?

A

`-209kJ`

B

`-2259kJ`

C

`+2259kJ`

D

`+209kJ`

Text Solution

Verified by Experts

The correct Answer is:
D
(I) `C_(2)H_(2)(g) +(5)/(2)O_(2) (g) to 2CO_(2) (g) + H_(2)O (l), DeltaG^(@) = -1234kJ`
(II) `C(s) + O_(2) (g) to CO_(2)(g) to CO_(2)(g), DeltaG^(@) = -394kJ`
(III) `H_(2)(g) +(1)/(2)O_(2)(g) to H_(2)O(l), DeltaG^(@) = -237kJ`
Multiply the Eq. (II) by 2 and then add with Eq. (III) and subtract Eq. (I) from the sum of (II) and (III)
`2C(s) +H_(2)(g) to C_(2)H_(2)(g)`
`DeltaG^(@) = 2(-394) +(-237) -1234`
`DeltaG^(@) = 209kJ`
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