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A Carnot enginer abosrbs an amount Q of ...

A Carnot enginer abosrbs an amount Q of heat from a reservoir at an absolute temperature T and rejects heat to a sink at a temperature of `T//3`. The amount of heat rejects is

A

`Q/4`

B

`Q/3`

C

`Q/2`

D

`(2Q)/3`

Text Solution

Verified by Experts

The correct Answer is:
B
We know that efficiency of carnot engine
`eta = I -T_(L)/T_(H)`
Also, Efficiency of Heat engine `=("Work output")/("Heat input")`
`therefore I - T_(L)/T_(H) =W/Q_(s) rArr W = Q_(s) (1-T_(L)/T_(H))`
`rArr W =Q(1-(T//3))/T = 2/3 Q`
Hence heat rejected `=Q -2/3 Q = Q/3`
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Knowledge Check

  • A Carnot engine absorbs an amount Q of heat from a reservoir at an absolute temperature T and rejects heat to a sink at a temperature of T//3 The amount of heat rejected is :

    A
    `Q//4`
    B
    `Q//3`
    C
    `Q//2`
    D
    `(2Q)//3`

  • A Carnot engine absorbs an amount Q of heat from a reservoir at an absolute temperature T and rejects heat to a sink at a temperature of T//3 The amount of heat rejected is :

    A
    `Q//4`
    B
    `Q//3`
    C
    `Q//2`
    D
    `(2Q)//3`

  • Two Carnot engines A and B operate in series such hat engine A absorbs heat at T_(1) and rejects heat to a sink at temperature T. Engine B absorbs half of the heat rejected by Engine A and rejects heat to the sink at T_(3) . When workdone in both the cases is equal, to value of T is :

    A
    `(2)/(3)T_(1)+(3)/(2)T_(3)`
    B
    `1/3T_(1)+(2)/(3)T_(3)`
    C
    `(3)/(2)T_(1)+1/3T_(3)`
    D
    `(2)/(3)T_(1)+1/3T_(3)`

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