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 :
Answer & explanation
Correct answer: option 3
For an adiabatic process : PV\(\gamma\) = constant
TV\(\gamma\)-1 = constant and T\(\gamma\)P1-\(\gamma\) = constant
Putting : \(\gamma\) = 5/3 (argon being a monoatomic gas),
the equation becomes : PV5/3 = constant
TV-2/3 = constant
T5/3 P-2/3 = constant
\(\Rightarrow\) TP-2/5 = constant