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Unitary Method

A Carnot engi...

Question

A Carnot engine operates between two reservoirs of temperatures $900 K$ and $300 K .$ The engine performs 1 $200 J$ of work per cycle. The heat energy $(i n J)$ delivered by the engine to the low temperature reservoir, in a cycle, is_____.

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Solution

Given, work perform by engine per cycle,
$W = 1200 J$
The efficiency for Carnot engine,
$900$
$Q 1 = Q + W$
$W = 1200 J$
$Q 2 = Q$
$300$
For Carnot engine
$\frac{Q_{1}}{Q_{2}} = \frac{T_{1}}{T_{2}}$

$\frac{Q + 1200}{Q} = \frac{900}{300}$
$Q + 1200 = 3 Q$
$Q = 600 J$
Final answer: (600)

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