A system goes from P to Q by two different paths in the P-V diagram as shown in Fig. 12.8. Heat given to the system in path 1 is 1000 J. The work done by the system along path 1 is more than path 2 by 100 J. What is the heat exchanged by the system in path 2?
This is a short answer type question as classified in NCERT Exemplar
For path1
Heat Q1= 1000J
Work done =W1
For path 2
Work done W2= W1-100
As change in internal energy is same
dU=Q1-W1=Q2-W2
1000-W1=Q2-W1+100
Q2= 1000-100= 900J
<p><span data-teams="true">This is a short answer type question as classified in NCERT Exemplar</span></p><p><strong>For path1</strong></p><p>Heat Q<sub>1</sub>= 1000J</p><p>Work done =W<sub>1</sub></p><p><strong>For path 2</strong></p><p>Work done W<sub>2</sub>= W<sub>1</sub>-100</p><p>As change in internal energy is same</p><p>dU=Q<sub>1</sub>-W<sub>1</sub>=Q<sub>2</sub>-W<sub>2</sub></p><p>1000-W<sub>1</sub>=Q<sub>2</sub>-W<sub>1</sub>+100</p><p>Q<sub>2</sub>= 1000-100= 900J</p>
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