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

Byju's Answer

Standard XII

Physics

Heat Engines

Two Carnot en...

Question

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 a sink at $T_{2} =$ K. The second engine B receives heat rejected by the first engine and rejects to another sink at $T_{3} =$ 300K. If the efficiencies of two engines are equal, then the value of $T_{2}$ is

489.4K

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

469.4K

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

449.4K

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

429.4K

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

Open in App

Solution

The correct option is A 489.4K
Efficiency, $η = 1 - \frac{T_{2}}{T_{1}} = 1 - \frac{T_{3}}{T_{2}}$
where $T_{1} =$ temperature of first source, $T_{2} =$ temperature of first sink $=$ temperature of second source,
$T_{3} =$ temperature of second sink
$\Rightarrow T_{2} = \sqrt{300 \times 800} K = 489.4 K$

Suggest Corrections

Similar questions

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^{'}

and

^{'} 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}

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

T_{1} =

800K and rejects to a sink at

T_{1}

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

T_{3} =

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

T_{2}

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 a 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

. Find the value of

T_{2}

if
(i) the work outputs of the two engines are equal.
(ii) the efficiencies of the two engines are equal.

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 $T_{2}$ is

Join BYJU'S Learning Program

The correct option is A 489.4KEfficiency, η=1−T2T1=1−T3T2where T1= temperature of first source, T2= temperature of first sink = temperature of second source,T3= temperature of second sink⇒T2=√300×800K=489.4 K