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 ...

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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

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625K

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650K

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675K

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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 $2 T_{2} = 1300$
$⟹$ $T_{2} = 650 K$

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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 $2 T_{2} = 1300$
$⟹$ $T_{2} = 650 K$