SATHEE: Thermodynamics - Result Question 42

Thermodynamics - Result Question 42

44. An engine has an efficiency of $1 / 6$ . When the temperature of sink is reduced by $62^{\circ} C$ , its efficiency is doubled. Temperature of the source is

(a) $37^{\circ} C$

(b) $62^{\circ} C$

(d) $124^{\circ} C$

[2007]

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Answer:

Correct Answer: 44. (c)

Solution:

$\frac{1}{6} = 1 - \frac{T_{2}}{T_{1}}$

When the temperature of the sink is reduced by $62^{\circ} C$ , its efficiency is doubled

$2 (\frac{1}{6}) = 1 - \frac{T_{2} - 62}{T_{1}}$

Solving (1) and (2)

$T_{2} = 372 K$

$T_{1} = 99^{\circ} C =$ Temperature of source.

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Thermodynamics - Result Question 42

44. An engine has an efficiency of 1/6. When the temperature of sink is reduced by 62∘C, its efficiency is doubled. Temperature of the source is

Answer:

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44. An engine has an efficiency of $1 / 6$ . When the temperature of sink is reduced by $62^{\circ} C$ , its efficiency is doubled. Temperature of the source is