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Complete the analogy: Order is the law of civilization as chaos is the law of the ______.
This is a classic contrast: civilization represents order, while the wilderness (nature untamed) represents chaos. The phrase evokes the idea that human society creates order, whereas wild nature is chaotic.
Reaction (b): \(\text{Ag}_2\text{O}\) is reduced to Ag (\(\text{Ag}^+\) โ \(\text{Ag}^0\)) while \(\text{H}_2\text{O}_2\) provides oxygen โ \(\text{H}_2\text{O}_2\) acts as oxidising agent
\(\text{H}_2\text{O}_2\) is amphoteric (can act as both oxidant and reductant depending on partner).
For adiabatic expansion: $T_1 V_1^{\gamma-1} = T_2 V_2^{\gamma-1}$
$300 \times V^{2/3} = T_2 \times (2V)^{2/3} \implies T_2 = \frac{300}{2^{2/3}} \approx \frac{300}{1.587} \approx 189 \text{ K}$
Change in internal energy: $\Delta U = n C_v \Delta T = n \left(\frac{3}{2}R\right) (T_2 - T_1)$
$\Delta U = 2 \times 1.5 \times 8.31 \times (189 - 300) \approx 24.93 \times (-111) \approx -2767 \text{ J} \approx -2.7 \text{ kJ}$.
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