Which of the following is the most effective way to increase the efficiency of the Carnot engine?

# Which of the following is the most effective way to increase the efficiency of the Carnot engine?

1. A

To increase the temperature of heat reservoir

2. B

To decrease the temperature of heat sink

3. C

To increase the temperature of heat sink

4. D

To decrease the temperature of heat reservoir

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### Solution:

Let temperature of heat reservoir and heat sink are T1 and T2 respectively.

$\eta =1-\frac{{T}_{2}}{{T}_{1}}$

Let T2 is reduced by $∆$T, hence

${\eta }_{1}=1-\frac{\left({T}_{2}-\mathrm{\Delta }T\right)}{{T}_{1}}$

Let in other case T1 is increased by $∆\mathrm{T}$, hence,

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