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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