Question

A Carnot's heat engine working between 150 K and 300 K has a work
output of 500 J per cycle. Calculate the heat supplied to the engine from the
source.​

Answer 1

$\huge\underline{\underline{\bf \orange{Question-}}}$

A Carnot's heat engine working between 150 K and 300 K has a work output of 500 J per cycle. Calculate the heat supplied to the engine from the source.

$\huge\underline{\underline{\bf \orange{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Temperature source = 150K
• Temperature sink = 300K
• Work output (W) = 500J

$\large\underline{\underline{\sf To\:Find:}}$

• Heat supplied ( Q )

✪$\large{\boxed{\bf \blue{\dfrac{W}{Q}=\left(1-\dfrac{T_1}{T_2}\right)} }}$

$\implies{\sf \dfrac{500}{Q}=\left(1-\dfrac{150}{300}\right) }$

$\implies{\sf \dfrac{500}{Q}=\dfrac{300-150}{300}}$

$\implies{\sf \dfrac{500}{Q}=\dfrac{150}{300}}$

$\implies{\sf \dfrac{500}{Q}=\dfrac{1}{2}}$

$\implies{\sf Q = 500 × 2}$

$\implies{\bf \red{Heat \: Supplied (Q)=1000J} }$

$\huge\underline{\underline{\bf \orange{Answer -}}}$

Heat supplied to the engine from the source is ${\bf \red{1000J}}$.