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Problems · Problem 4.10

Q.Calculate standard enthalpy of reaction, 2C2H6(g)+7O2(g)→4 CO2(g)+6 H2O(l)\mathrm{2C_2H_6(g) + 7O_2(g) \rightarrow 4\,CO_2(g) + 6\,H_2O}(l) Given that ΔfH0\Delta_f H^0 (CO2_2)= -393.5 kJ mol−1^{-1}, ΔfH0\Delta_f H^0 (H2_2O)= -285.8 kJ mol−1^{-1} and ΔfH0\Delta_f H^0(C2_2H6_6) = -84.9 kJ mol−1^{-1}

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[4(−393.5)+6(−285.8)]−[2(−84.9)+0]=−3119[4(-393.5) + 6(-285.8)] - [2(-84.9) + 0] = -3119 kJ.

Step 1. ΔrH0=∑ΔfH0(products)−∑ΔfH0(reactants)\Delta_r H^0 = \sum \Delta_f H^0(\mathrm{products}) - \sum \Delta_f H^0(\mathrm{reactants}); O2_2 is an element in its standard state, so ΔfH0(O2)=0\Delta_f H^0(\mathrm{O_2}) = 0.

Step 2. Products: 4×(−393.5)=−15744 \times (-393.5) = -1574 kJ (CO2_2) and 6×(−285.8)=−1714.86 \times (-285.8) = -1714.8 kJ (H2_2O). …

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