In heat engine, sink is fitted at temperature 27° C and heat of 100 kcal is taken from source at temperature 677° C. Work done is

Question

In heat engine, sink is fitted at temperature 27° C and heat of 100 kcal is taken from source at temperature 677° C. Work done is (A) 0.22 × 107 KJ (B) 0.28 × 106 J (C) 0.30 × 105 J (D) 0.65 × 105 J

Tardigrade Admin · Accepted Answer

η=(W/Q1)=1-(T2/T1)=1-(300/950) (W/Q)=(13/19) cal W =102 × 103 × (13/19) × 4.2 J W =0.28 × 106 Joule

Q. In heat engine, sink is fitted at temperature $2 7^{\circ} C$ and heat of 100 kcal is taken from source at temperature $67 7^{\circ} C$ . Work done is

$0.22 \times 1 0^{7} K J$

$0.28 \times 1 0^{6} J$

$0.30 \times 1 0^{5} J$

$0.65 \times 1 0^{5} J$

$η = \frac{W}{Q _{1}} = 1 - \frac{T _{2}}{T _{1}} = 1 - \frac{300}{950}$
$\frac{W}{Q} = \frac{13}{19}$ cal
$W = 1 0^{2} \times 1 0^{3} \times \frac{13}{19} \times 4.2 J$
$W = 0.28 \times 1 0^{6}$ Joule

Q. In heat engine, sink is fitted at temperature 27∘C and heat of 100 kcal is taken from source at temperature 677∘C. Work done is

0.22×107KJ

0.28×106J

0.30×105J

0.65×105J