An engine manufacturer claims to have a engine capable of developing 30 hp by receiving heat input of 600 kcal per minute and it works between temperature of 227- C and 27- C- then his claim isA- Not possibleB- Theoretically possibleC- May be possible with lot of sophisticationsD- Cost will be very high

The correct option is A Not possibleη_max=1 T_L/T_H Output =30 × 746 J/s = 22,380 J/s Input =600 × 10^3 × 4.2/60=42000 J/s η=22,380/42000=0.53 (reversible ...

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Standard XII

Physics

Carnot Cycle

An engine man...

Question

An engine manufacturer claims to have a engine capable of developing 30 hp by receiving heat input of 600 kcal per minute and it works between temperature of $227^{\circ} C$ and $27^{\circ} C$ , then his claim is

Theoretically possible

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Not possible

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May be possible with lot of sophistications

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Cost will be very high

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Solution

The correct option is B Not possible
$η_{m a x} = 1 - \frac{T_{L}}{T_{H}}$

Output $= 30 \times 746 J / s = 22, 380 J / s$

Input $= \frac{600 \times 10^{3} \times 4.2}{60} = 42000 J / s$

$η = \frac{22, 380}{42000} = 0.53$

$η_{m a x} (r e v e r s i b l e c a r n o t) = 1 - \frac{T_{L}}{T_{H}} = 1 - \frac{/ 300}{/ 500} = 0.4$

Efficiency (0.53) cannot be greater than $η_{m a x} (0.4)$

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An engine manufacturer claims to have a engine capable of developing 30 hp by receiving heat input of 600 kcal per minute and it works between temperature of 227∘C and 27∘C, then his claim is

The correct option is B Not possibleηmax=1−TLTH Output =30×746 J/s=22,380 J/s Input =600×103×4.260=42000 J/s η=22,38042000=0.53 ηmax(reversible carnot)=1−TLTH=1−/300/500=0.4 Efficiency (0.53) cannot be greater than ηmax(0.4)

An engine manufacturer claims to have a engine capable of developing 30 hp by receiving heat input of 600 kcal per minute and it works between temperature of $227^{\circ} C$ and $27^{\circ} C$ , then his claim is