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Laspeyre's Price Index

Heat supplied...

Question

Heat supplied to a Carnot engine is $453.6 k c a l$ . How much useful work can be done by the engine which works between $10^{o} C$ and $100^{o} C$ ?

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Solution

$T_{2} = 100 + 273 = 373 K; T_{1} = 10 + 273 = 283 K$
$q_{2} = 453.6 \times 4.184 = 1897.86 k J$
We know that,
$w = q_{2} . \frac{T_{2} - T_{1}}{T_{2}}$
$= 1897.86 \times \frac{373 - 283}{373}$
$= 457.92 k J$

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