<span>In the field of science, usually, the product of an experiment is
computed ahead to understand if it reached a specific objective. It would reach
greater than 100% of percent yield if the factors include faster reaction rates;
proper handling of the reactants, no outside contaminants, and the procedure of
the experiment is followed smoothly. It would reach lesser than 100% percent yield
if the experiment is not followed, external factors such as contamination from
the environment (wind, moisture, etc). </span>
![176.0 \; \text{kJ} \cdot \text{mol}^{-1}](https://tex.z-dn.net/?f=176.0%20%5C%3B%20%5Ctext%7BkJ%7D%20%5Ccdot%20%5Ctext%7Bmol%7D%5E%7B-1%7D)
As long as the equation in question can be expressed as the sum of the three equations with known enthalpy change, its
can be determined with the Hess's Law. The key is to find the appropriate coefficient for each of the given equations.
Let the three equations with
given be denoted as (1), (2), (3), and the last equation (4). Let
,
, and
be letters such that
. This relationship shall hold for all chemicals involved.
There are three unknowns; it would thus take at least three equations to find their values. Species present on both sides of the equation would cancel out. Thus, let coefficients on the reactant side be positive and those on the product side be negative, such that duplicates would cancel out arithmetically. For instance,
shall resemble the number of
left on the product side when the second equation is directly added to the third. Similarly
Thus
and
![-\frac{1}{2} \times (1) + \frac{1}{2} \times (2) - \frac{1}{2} \times (3)= (4)](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%281%29%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%282%29%20-%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%283%29%3D%20%284%29)
Verify this conclusion against a fourth species involved-
for instance. Nitrogen isn't present in the net equation. The sum of its coefficient shall, therefore, be zero.
![a + b = -1/2 + 1/2 = 0](https://tex.z-dn.net/?f=a%20%2B%20b%20%3D%20-1%2F2%20%2B%201%2F2%20%3D%200)
Apply the Hess's Law based on the coefficients to find the enthalpy change of the last equation.
![\Delta H _{(4)} = -\frac{1}{2} \; \Delta H _{(1)} + \frac{1}{2} \; \Delta H _{(2)} - \frac{1}{2} \; \Delta H _{(3)}\\\phantom{\Delta H _{(4)}} = -\frac{1}{2} \times (-628.9)+ \frac{1}{2} \times (-92.2) - \frac{1}{2} \times (184.7) \\\phantom{\Delta H _{(4)}} = 176.0 \; \text{kJ} \cdot \text{mol}^{-1}](https://tex.z-dn.net/?f=%5CDelta%20H%20_%7B%284%29%7D%20%3D%20-%5Cfrac%7B1%7D%7B2%7D%20%5C%3B%20%5CDelta%20H%20_%7B%281%29%7D%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%5C%3B%20%5CDelta%20H%20_%7B%282%29%7D%20-%20%5Cfrac%7B1%7D%7B2%7D%20%5C%3B%20%5CDelta%20H%20_%7B%283%29%7D%5C%5C%5Cphantom%7B%5CDelta%20H%20_%7B%284%29%7D%7D%20%3D%20-%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%28-628.9%29%2B%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%28-92.2%29%20-%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%28184.7%29%20%5C%5C%5Cphantom%7B%5CDelta%20H%20_%7B%284%29%7D%7D%20%3D%20176.0%20%5C%3B%20%5Ctext%7BkJ%7D%20%5Ccdot%20%5Ctext%7Bmol%7D%5E%7B-1%7D)
High energy hope this helps
c well actually I remember being tought this but I cant remember it 100