Q.

Argon gas is adiabatically compressed to half its volume. If P, V and T represent the pressure, volume and temperature of the gaseous system, respectively, at any stage, then the correct equation representing the process is

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a

TV2/5-constant

b

VP5/3=constant

c

TP-2/5=constant

d

PT2/5=constant

answer is C.

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Detailed Solution

For an adiabatic process,             PVY = constant           TVγ-1 = constant and   TγP1-γ= constant Putting, γ = 5/3 (argon being a monatomic gas), the equation becomes:          PV5/3= constant          TV-2/3 = constant          T5/3 P-2/3 = constant ⇒ TP-2/5=constant
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