For the Haber-Bosch equilibrium $N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g)$ with $\Delta H = -92\,\text{kJ}$, what happens to the equilibrium position when the volume of the container is decreased (choose: shift to reactant side, shift to product side, or no change), and what would the resulting concentration vs. time graph look like?
Decreasing the volume increases the pressure, so the equilibrium shifts to the product side (toward $NH_3$) because there are fewer moles of gas on the product side (2 mol vs 4 mol on the reactant side). On a concentration (or partial pressure) vs time graph, all species show an instant increase at the moment of compression, then $[N_2]$ and $[H_2]$ fall while $[NH_3]$ rises to a new equilibrium.
What this change does to the system
Decreasing the container volume squeezes the same amount of gas into less space. That raises the total pressure (and the partial pressures or concentrations of all gases) instantly.
Using Le Chatelier’s principle (moles of gas)
The equilibrium is: $$N_2(g) + 3H_2(g) \rightleftharpoons 2NH_3(g)$$ Count gas moles on each side:
- Reactant side: $1 + 3 = 4$ mol gas
- Product side: $2$ mol gas
Higher pressure favors the side with fewer gas moles, so the system shifts right to reduce pressure.
Effect: shift to product side (more $NH_3$).
How the concentration vs. time graph should look
At the instant the volume is decreased (time $t_0$):
- $[N_2]$, $[H_2]$, and $[NH_3]$ all jump up immediately (same moles, smaller volume).
Then, as the equilibrium shifts right:
- $[N_2]$ decreases from that jumped-up value to a new steady value
- $[H_2]$ decreases from that jumped-up value to a new steady value
- $[NH_3]$ increases further to a new steady value
A simple sketch (concentration vs time):
concentration
^
| NH3 _________
| / \
| _________/ \______
| | (instant jump)
| N2 |\__________
| | \____________
| H2 |\__________
| | \____________
+-----+------------------------------> time
t0 (volume decreases)
The key features are the immediate jump for all species at $t_0$, followed by opposite trends: reactants down, product up, until a new equilibrium is reached.
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