A Carnot engine (E) is working between two temperatures 473 K and 273 K. In a new system two engines - engine…

Question

A Carnot engine (E) is working between two temperatures $473\,\text{K}$ and $273\,\text{K}$ . In a new system two engines - engine $E_1$ works between $473\,\text{K}$ to $373\,\text{K}$ and engine $E_2$ works between $373\,\text{K}$ to $273\,\text{K}$ . If $\eta_{12}$ , $\eta_1$ and $\eta_2$ are the efficiencies of the engines $E$ , $E_1$ and $E_2$ , respectively, then:

A
$\eta_{12} < \eta_1 + \eta_2$
B
$\eta_{12} = \eta_1 + \eta_2$
C
$\eta_{12} = \eta_1 \eta_2$
D
$\eta_{12} > \eta_1 + \eta_2$

Accepted Answer

A. $$\eta_{12} < \eta_1 + \eta_2$$

Answer

B. $$\eta_{12} = \eta_1 + \eta_2$$

Answer

C. $$\eta_{12} = \eta_1 \eta_2$$

Answer

D. $$\eta_{12} > \eta_1 + \eta_2$$

Answer & step-by-step solution

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