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The 'Theory of Surplus Value' is a key component of:
Marx used this theory to explain the exploitation of labor by capitalists.
For two Carnot engines in series where the work output is equal ($W_A = W_B$):
$Q_1 - Q_2 = Q_2 - Q_3$
Since $Q \propto T$ for a Carnot cycle, we can write:
$T_1 - T_2 = T_2 - T_3$
Rearranging for $T_2$:
$2T_2 = T_1 + T_3 \implies T_2 = \frac{600 + 400}{2} = 500 \text{ K}$.
Area of regular hexagon with side \(s\: \(A = \dfrac{3\sqrt{3}}{2}s^2\
Setting equal: \(\dfrac{3\sqrt{3}}{2}s^2 = 54\sqrt{3}\
\(s^2 = \dfrac{54\sqrt{3} \times 2}{3\sqrt{3}} = \dfrac{108}{3} = 36\
\(s = 6\ \text{cm}\
Verification: \(\dfrac{3\sqrt{3}}{2} \times 36 = 54\sqrt{3}\ ✓
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