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Q.

In a flexible balloon, 2 moles of Question Image having an initial volume of Question Image at a temperature of


Question Image is filled ( Question Image is a linear triatomic gas) . The gas is first expanded to thrice its initial volume isobarically and then expanded adiabatically so as to attain its initial temperature. Assuming gas is ideal, Question Image and Question Image. Work done by the gas in the whole process is:


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a

2 K J

b

3.2 K J

c

40 K J

d

15 K J 

answer is D.

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Detailed Solution

Concept- The isobaric process maintains steady pressure while transferring heat from one system to another. There is no heat transmission from the system to the surroundings during the adiabatic phase. By adjusting the temperature, the heat is kept constant. The adiabatic process isolates the system from its surroundings.
1. Isobaric process:
Question ImageQuestion ImageWork done Question Image2. Adiabatic process:
Question Image for polyatomic gases.
Question Image constant
Question ImageQuestion ImageQuestion ImageQuestion ImageWork done in adiabatic process
Question ImageTotal work done Question ImageHence, the answer is 15KJ.
 
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