MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Heat Pumps

One reversibl...

Question

One reversible heat engine operates between 1600 K and $T_{2}$ K, and another reversible heat engine operates between $T_{2}$ K and 400 K. If both the engines have the same heat input and output, then the temperature $T_{2}$ must be equal to:

A

600

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

800

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

650

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

675

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $800$
$T_{1} = 1600 K$

$T_{2} = T_{2} K$

$T_{1}^{1} = T_{2} K$

$T_{2}^{1} = 400 K$

Same input and same output.Then the efficiency is same.
$η = \frac{T_{1} - T_{2}}{T_{1}}$

$∴ \frac{1600 - T_{2}}{1600} = \frac{T_{2} - 400}{T_{2}}$

$= 1600 T_{2} - T_{2}^{2} = 1600 T_{2} - 640000$

$∴ T_{2}^{2} = 640000$
$∴ T_{2} = 800 K$

Suggest Corrections

thumbs-up

0

Similar questions

Q. A reversible engine operates between temperatures 900 K &

T_{2}

T_{2}

< 900 K), & another reversible engine between

T_{2}

T_{2}

> 400 K) in series. What is the value of

T_{2}

if work outputs of both the engines are equal?

Q. One reversible heat engine operates between

900 K

T_{2} K

, and another reversible heat engine operates between

T_{2} K

400 K

. If both the engine have the same efficiency, then the temperature

T_{2}

must be equal to

Q. Two Carnot engines A and B are operated in succession. The first one, A receives heat from a source at

T_{1}

=800 K and rejects to sink at

T_{2}

K. The second engine B receives heat rejected by the first engine and rejects to another sink at

T_{3}

=300 K If the work outputs of two engines are equal, then the value of

T_{2}

Q. Two carnot engines

A

B

are operated in series. The first one,

A

received heat at

T_{1} (= 600 K)

and rejects to a reservoir at temperature

T_{2}

. The second engine

B

receives heat rejected by the first engibe and in turn, rejects to a heat reservoir at

T_{3} = (400 K)

. Calculate the temperature

T_{2}

if the work outputs of the two engines are equal

Q. Two Carnot engines

^{'} A^{'}

^{'} B^{'}

are operated in succession. The first one,

A

receives heat from a source at

T_{1} = 800 K

and rejects to a sink at

T_{2} K

. The second engine

B

receives heat rejected by the first engine and rejects it to the another sink at

T_{3} = 300 K

. If the work outputs of the two engines are equal, then the value of

T_{2}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Thermodynamic Devices

PHYSICS

Watch in App

explore_more_icon

Explore more

Standard XII Physics

Join BYJU'S Learning Program

CrossIcon