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H(2) (g) + (1)/(2) O(2)(g) to H(2)O(l) ...

`H_(2) (g) + (1)/(2) O_(2)(g) to H_(2)O(l)`
`BE (H-H) = x_(1) , BE ( O= O) = x_(2)`
`BE(O-H) = x_(3)`
Latent heat of vaporisation of water liquid into water vapour `= x_(4)` then `Delta_(f)H` (heat of formation of liquid water) is

A

`x_(1) = (x_(2))/(2) - x_(3) + x_(4)`

B

`2x_(3) - x_(1) - (x_(2))/(2) - x_(4)`

C

`x_(1) + (x_(2))/(2) - 2x_(3) - x_(4)`

D

`x_(1)+ (x_(2))/(2) - 2x_(3) + x_(4)`

Text Solution

Verified by Experts

The correct Answer is:
C

`DeltaH = (BE)_("reactant") - (BE)_("products") `
[ But all the species must be in gaseous state . In product , `[H_(2)O(l) to H_(2) o(g)]` `Delta H` must be added.
Hence , `H_(2)(g) + (1)/(2) O_(2)(g) to H_(2)O (l)`
`DeltaH = [(BE)_(H-H) + (1)/(2)(BE)_(O=O)]`
` = [(DeltaH)_(vap) + 2(BE)_(OH)]`
` = x_(1) + (x_(2))/(2) - [x_(4) + 2x_(3)]`
` x_(1) + (x_(2))/(2) - x_(4) - 2x_(3)`
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