A reversible engine operates between temperatures 900 K T2 T2 400 K in series- What is the value of T2 if work outputs of both the engines are equal-

The correct option is B 650KOutput work #160; W = Δ T Thus for equal work output, temperature difference should be equal. 900 T_2=T_2 400 Or #160 ...

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

Byju's Answer

Standard XII

Physics

Heat Pumps

A reversible ...

Question

A reversible engine operates between temperatures 900 K & $T_{2}$ ( $T_{2}$ < 900 K), & another reversible engine between $T_{2}$ & 400 K ( $T_{2}$ > 400 K) in series. What is the value of $T_{2}$ if work outputs of both the engines are equal?

600K

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

625K

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

650K

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

675K

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

Open in App

Solution

The correct option is B 650K
Output work $W = Δ T$
Thus for equal work output, temperature difference should be equal.
$900 - T_{2} = T_{2} - 400$
Or $2 T_{2} = 1300$
$⟹$ $T_{2} = 650 K$

Suggest Corrections

Similar questions

Q. 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:

Q. One reversible heat engine operates between

900 K

and

T_{2} K

, and another reversible heat engine operates between

T_{2} K

and

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 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 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. A Carnot engine operating between temperatures

T_{1}

and

T_{2}

has efficiency 0.2. When

T_{2}

is reduced by 60 K, its efficiency increases to 0.4. Then,

T_{1}

and

T_{2}

are respectively

Join BYJU'S Learning Program

A reversible engine operates between temperatures 900 K & T2(T2 < 900 K), & another reversible engine between T2 & 400 K (T2 > 400 K) in series. What is the value of T2 if work outputs of both the engines are equal?

The correct option is B 650KOutput work W=ΔTThus for equal work output, temperature difference should be equal.900−T2=T2−400Or 2T2=1300 ⟹ T2=650 K

A reversible engine operates between temperatures 900 K & $T_{2}$ ( $T_{2}$ < 900 K), & another reversible engine between $T_{2}$ & 400 K ( $T_{2}$ > 400 K) in series. What is the value of $T_{2}$ if work outputs of both the engines are equal?

The correct option is B 650K
Output work $W = Δ T$
Thus for equal work output, temperature difference should be equal.
$900 - T_{2} = T_{2} - 400$
Or $2 T_{2} = 1300$
$⟹$ $T_{2} = 650 K$