Calculate the heat of hydrogenation of ethane given the following thermochemical equations

Text Solution

Solution : The thermochemical equations corresponding to the given data are <br> `C_2H_4(g) + 3O_2(g) to 2CO_2(g) + 2H_2O(l), DeltaH = - 1410 kJ`…(i) <br> `H_2(g) + 1/2 O_2(g) to H_2O (l), DeltaH = - 286.2 kJ`…(ii) <br> `C_2H_6(g) + 7/2 O_2(g) to 2CO_2(g) + 3H_2O(l), DeltaH = - 1560.6 kJ`...(iii) <br> The required equation is <br> `C_2H_4(g) + H_2(g) to C_2H_6 (g) , DeltaH = ?` <br> On adding eqs. (i) and (ii) , we get <br> `C_2H_4 (g) + H_2(g) + 3 1/2 O_2(g) to 2CO_2(g) + 3H_2O(l), DeltaH = -1410 + (-286.2) kJ`...(iv) <br> Subtracting eq. (iii) from eq. (iv) and transposing, we get <br> `C_2H_4(g) + H_2(g) to C_2H_6 (g) , Delta_rH = -1410 + (-286.2) - (-1560.6)` <br> `=-135.6 kJ`

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