Answer:
a. 7278 K
b. 4.542 × 10⁻³¹
Explanation:
a.
Let´s consider the following reaction.
N₂(g) + O₂(g) ⇄ 2 NO(g)
The reaction is spontaneous when:
ΔG° < 0 [1]
Let's consider a second relation:
ΔG° = ΔH° - T × ΔS° [2]
Combining [1] and [2],
ΔH° - T × ΔS° < 0
ΔH° < T × ΔS°
T > ΔH°/ΔS°
T > (180.5 × 10³ J/mol)/(24.80 J/mol.K)
T > 7278 K
b.
First, we will calculate ΔG° at 25°C + 273.15 = 298 K
ΔG° = ΔH° - T × ΔS°
ΔG° = 180.5 kJ/mol - 298 K × 24.80 × 10⁻³ kJ/mol.K
ΔG° = 173.1 kJ/mol
We can calculate the equilibrium constant using the following expression.
ΔG° = - R × T × lnK
lnK = - ΔG° / R × T
lnK = - 173.1 × 10³ J/mol / (8.314 J/mol.K) × 298 K
K = 4.542 × 10⁻³¹
Answer:
- <u><em>B. Negative association</em></u>
<u><em></em></u>
Explanation:
<em>Negative association</em> is when the independent and dependent variables move in opposite directions: if the dependent variable increases, the independent variable decreases, and if the dependent variable decreases, the independent variable increases.
As you see in the diagram, as you move to the right on the horizontal axis, meaning that the independent variable is increasing, the points lie lower, meaning that the independent variable decreases.
Therefore, if you draw a line of best fit, it will have a negative slope. A negative slope indicates <em>negative association.</em>
The graph certainly shows association as there is a clear trend; else the points would be randomly dispersded.
