MCQ
A heat engine is involved with exchange of heat of $1915\, J,$ $-40\, J ,+125\, J$ and $-Q\,J$, during one cycle achieving an efficiency of $50.0 \%$. The value of $Q$ is.......$J$
  • A
    $640$
  • B
    $400$
  • $980$
  • D
    $40$

Answer

Correct option: C.
$980$
c
$\eta=\frac{\text { Work done }}{\text { Heat supplied }}$

$\frac{1}{2}=\eta=\frac{1915-40+125- Q }{1915+125}$

$\frac{1}{2}=\frac{2000- Q }{2040}$

$2040=4000-2 Q$

$2 Q =1960$

$Q =980 J$

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