An ideal gas is compressed to half its initial volume by means of several processes. Which of the processes results in the maximum work done on the gas?a)Isobaricb)Isochoricc)Isothermald)AdiabaticCorrect answer is option 'D'. Can you explain this answer?

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An ideal gas is compressed to half its initial volume by means of several processes. Which of the processes results in the maximum work done on the gas?

a)
Isobaric
b)
Isochoric
c)
Isothermal
d)
Adiabatic

Correct answer is option 'D'. Can you explain this answer?

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Verified Answer

An ideal gas is compressed to half its initial volume by means of sev...

Polytropic Process is represented by

PVⁿ = C

n = 0 ⇒ P = C ⇒ Constant Pressure Process (Isobaric Process)
n = 1 ⇒ PV = C ⇒ Constant Temperature Process (Isothermal process)
n = γ ⇒ PVγ = C ⇒ Adiabatic Process
n = ∞ ⇒ V = C ⇒ Constant Volume Process (Isochoric process)

The area under P-V diagrams represents the work done.

For compression between two volumes, we can see that area is maximum for the adiabatic process.

So work done on the gas will be maximum for the adiabatic process.

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An ideal gas is compressed to half its initial volume by means of several processes. Which of the processes results in the maximum work done on the gas?a)Isobaricb)Isochoricc)Isothermald)AdiabaticCorrect answer is option 'D'. Can you explain this answer?

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