An ideal gas heat engine is operating between 227° C and 127° C. It absorbs 104 J of heat at the higher temperature. The amount of heat converted into work is

Question

An ideal gas heat engine is operating between 227° C and 127° C. It absorbs 104 J of heat at the higher temperature. The amount of heat converted into work is (A) 2000 J (B) 4000 J (C) 8000 J (D) 5600 J

Tardigrade Admin · Accepted Answer

Î· =1- (T2/T1) Î· =1 - ((127 + 273)/(227 + 273)) = 1 - (400/500) = (1/5) W = Î·Q1 =(1/5) × 104 = 2000 J

Q. An ideal gas heat engine is operating between $22 7^{\circ} C$ and $12 7^{\circ} C$ . It absorbs $1 0^{4} J$ of heat at the higher temperature. The amount of heat converted into work is

2000 J

4000 J

8000 J

5600 J

$η = 1 - (T_{2} / T_{1})$
$η = 1 - \frac{( 127 + 273 )}{( 227 + 273 )}$
$= 1 - \frac{400}{500} = \frac{1}{5}$
$W = η Q_{1} = \frac{1}{5} \times 1 0^{4} = 2000 J$

Q. An ideal gas heat engine is operating between 227∘C and 127∘C. It absorbs 104J of heat at the higher temperature. The amount of heat converted into work is