Final answer:
The enthalpy change (ΔH) for the target reaction HCl + NaNO₂ → HNO₂ + NaCl is calculated by manipulating and summing the enthalpy changes of the given reactions to match the target equation.
Step-by-step explanation:
To calculate the change in enthalpy (ΔH) for the reaction HCl + NaNO₂ → HNO₂ + NaCl, we must manipulate and sum the enthalpy changes (ΔH) of the given reactions so that, when added, they result in the enthalpy change of the target reaction.
- First, we reverse the second reaction and divide it by two to match the coefficients in the target equation, which requires enthalpy to change the sign and be halved:
- Next, we reverse the fourth reaction and multiply it by ½ to match the coefficients in the target equation:
- Regarding the third equation, it already produces NaNO₂ as required in the target equation, so no changes are needed:
- Finally, divide the first equation by three to match the coefficients in the N₂O and O₂ products:
Summing the ΔHs of the four manipulated reactions, we get the total ΔH:
ΔH = (-507.31/2) - (34.35/2) - 213.57 - (-128.04/3) kJ