Thermodynamics - Result Question 45

«««< HEAD:content/english/neet-pyq-chapterwise/physics/thermodynamics/thermodynamics-result-question-45.md

47. An ideal gas heat engine operates in Carnot cycle between $227^{\circ} C$ and $127^{\circ} C$. It absorbs $6 \times 10^{4}$ cals of heat at higher temperature. Amount of heat converted to work is [2005]

======= ####47. An ideal gas heat engine operates in Carnot cycle between $227^{\circ} C$ and $127^{\circ} C$. It absorbs $6 \times 10^{4}$ cals of heat at higher temperature. Amount of heat converted to work is [2005]

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/thermodynamics/thermodynamics—result-question-45.md (a) $4.8 \times 10^{4} cals$

(b) $6 \times 10^{4} cals$

(c) $2.4 \times 10^{4}$ cals

(d) $1.2 \times 10^{4} cals$

Show Answer

Answer:

Correct Answer: 47. (d)

Solution:

  1. (d) We know that efficiency of carnot engine

$=1-\frac{T_2}{T_1}=1-\frac{400}{500}=\frac{1}{5}$

$[\because T_1=(273+227) K=500 K.$

and $.T_2=(273+127) K=400 K]$

Efficiency of Heat engine $=\frac{\text{ Work output }}{\text{ Heat input }}$

or, $\frac{1}{5}=\frac{\text{ work output }}{6 \times 10^{4}}$

$\Rightarrow$ work output $=1.2 \times 10^{4} cal$