Question

An engineer claims that he has developed 60% efficient engine while working between 270c and 3270C. Does his claim stands?

Answer 1

Given

• Sink temp(T₂) = 27°C = 300k
• Source temp (T₁) = 327°c = 600k
• Efficiency = 60%

To Find

• If the given information hold true

Solution

☯ Efficiency = 1 - T₂/T₁

• Where T₂ here will be 300 k & T₁ will be 600 k

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✭ According to the Question :

→ η = 1 - T₂/T₁

→ η = 1 - 300/600

→ η = 600-300/600

→ η = 300/600

→ η = 3/6

→ η = 0.5

━━━━━━━━━━━━━━━━━━━━━━━━━

Converting to %

→ 0.5 × 100

→ Eta = 50%

∴ The information given doesn't hold true

Answer 2

Answer:-

$\small \bf \underline{Given:}$

★★ Efficiency = 60%

★★ Sink temperature = $\small \bf T_2$= 27 + 273 = 300K

★★ Source temperature = $\small \bf T_1$ = 327 + 273 = 600K

$\small \bf \underline{To \: find:}$

We need the find that whether the given information is true or false

$\small \bf \underline{Solution:}$

» Possible efficiency =

$\small \bf1 - \frac{T_2}{T_1}$

$\bf =( 1 - \frac{300}{600} )\%$

$\bf = (1 - \frac{1}{2} )\%$

$\bf = \frac{1}{2} \%$

$= 50\%$

Answer: The information given by the engineer doesn't hold true.

@BengaliBeauty

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