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Calculate the enthalpy of formation of a...

Calculate the enthalpy of formation of acetic acid from the following data.
`CH_3COOH(I) +202 (g) — 2C02 (g) +2H20(I), " " Delta H= -207.9` kcal
`C(s) +O_2 (g) —C0_2 (g) . ..(ii) Delta H= -94.48` kcal
`H_(2)(g)+(1)/(2)O_(2)(g)to H_(2)O(l), " " Delta H =-68.4` k cal

Text Solution

Verified by Experts

The required equation is ,
`2C(s)+2H_(2)(g)+O_(2)(g)to CH_(3)COOH(l), " " Delta H=?`
This equation can be obtained by multiplying equation (ii) by 2 and also equation (iii) by 2 and adding both and finally subtracting equation (i).
`2C(s)+2O_(2)(g)+2H_(2)(g)+O_(2)(g)-CH_(3)COOH(l)-2O_(2)(g)to 2CO_(2)(g)+2H_(2)O(l)-2CO_(2)(g)-2H_(2)O(l)`
`2C(s)+2H_(2)(g)+O_(2)(g)to CH_(3)COOH(l)`
`Delta_(f)H[CH_(3)COOH(l)=2xx(-94.48)+2xx(-68.4)-(-207.9)`
`=-188.96-136.8+207.9`
`=-325.76=-117.86` k cal.
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